# MCQs for Mathematics Class 9 with Answers Chapter 6 Lines and Angles

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Lines and Angles with answers provided here which is an important chapter in Class 9 Mathematics NCERT textbook. These MCQ for Class 9 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 9 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming Class 9 Mathematics examination

**Chapter 6 Lines and Angles MCQ with Answers Class 9 Mathematics**

MCQ Questions Class 9 Mathematics Lines and Angles provided below have been prepared by expert teachers of grade 9. These objective questions with solutions are expected to come in the upcoming Standard 9 examinations. Learn the below provided MCQ questions to get better marks in examinations.

**Question. ∠P and ∠Q are complementary angles. If they are represented by the expressions m∠Q = y and m∠P = 2y + 30°, then their measures respectively are**

(a) 70°, 20°

(b) 20°, 70°

(c) 10°, 80°

(d) 80°, 10°

## Answer

A

** Question. The measure of an angle which is four times its complement is**

(a) 78°

(b) 76°

(c) 72°

(d) 74°

## Answer

C

** Question. In the given figure, if AB ∥ CD, then the values of x and y respectively are**

(a) 25°, 65°

(b) 60°, 30°

(c) 65°, 25°

(d) 40°, 50°

## Answer

B

** Question. If the supplement of an angle is 4 times of its complement, then the angle is**

(a) 60°

(b) 40°

(c) 50°

(d) 70°

## Answer

A

**Question.** If two complementary angles are in the ratio 2 : 3, then the angles are

(a) 58°, 32°

(b) 50°, 40°

(c) 56°, 34°

(d) 36°, 54°

## Answer

D

**Question.** The measure of an angle which is 24° more than its complement is

(a) 66°

(b) 57°

(c) 156°

(d) 114°

## Answer

B

**Question.** If in the given figure, OA and OB are opposite rays, then the value of x is

(a) 40

(b) 44

(c) 46

(d) 42

## Answer

D

**Question.** In the adjoining figure, if l ∥ m and n ⊥ m, then the measure of angle P is

(a) 48°

(b) 42°

(c) 90°

(d) 38°

## Answer

A

**Question.** The value of x that will make POQ a straight line is

(a) 30

(b) 25

(c) 35

(d) 40

## Answer

A

**Question.** In the given figure, ∠AOC = 50°, then ∠AOD + ∠COB is equal to

(a) 100°

(b) 140°

(c) 260°

(d) 130°

## Answer

C

**Question.** In the given figure, l ∥ m ∥ n. If x : y = 5 : 4, then the measure of angle z is

(a) 40°

(b) 50°

(c) 90°

(d) 80°

## Answer

D

**Question.** The measure of x in the given figure is

(a) 35°

(b) 25°

(c) 30°

(d) 20°

## Answer

C

** Question. In the given figure, if l ∥ m then the measure of angle x is**

(a) 65°

(b) 40°

(c) 25°

(d) 90°

## Answer

D

**Question.**The measure of x in the given figure is

(a) 125°

(b) 70°

(c) 105°

(d) 100°

## Answer

A

**Question.** In the given figure, if l ∥ m, then the value of x is

(a) 18°

(b) 72°

(c) 54°

(d) 100°

## Answer

C

**Question.** In the figure given alongside, if AB ∥ CF and CD ∥ FE, then the value of x is

(a) 40°

(b) 65°

(c) 75°

(d) 105°

## Answer

D

**Question.** ABCD is a square. If AP = PQ and ∠QRC = 35°, then the measure of ∠PAQ is

(a) 40°

(b) 35°

(c) 30°

(d) 25°

## Answer

A

**Question.** In the given figure, if l ∥ m, then the measure of x is

(a) 70°

(b) 100°

(c) 40°

(d) 30°

## Answer

C

** Question.** If two angles of a triangle are complementary, then it is

(a) a right triangle

(b) an obtuse angled triangle

(c) an acute angled triangle

(d) an equilateral triangle

## Answer

A

** Question.** In the given figure AB ∥ CD. Transversal PQ intersects AB at E and CD at F. Given, ∠CFQ = 47°, the measure of x and y respectively are

(a) 30°, 150°

(b) 37°, 143°

(c) 47°, 133°

(d) 39°, 141°

## Answer

C

** Question.** An exterior angle of a triangle is 110° and its two opposite interior angles are equal. Each of these equal angles is

(a) 70°

(b) 55°

(c) 35°

(d) 110°

## Answer

B

** Question.** The angles of a triangle are in the ratio 4 : 5 : 9. The triangle is

(a) an isosceles triangle

(b) an obtuse angled triangle

(c) an acute angled triangle

(d) a right triangle

## Answer

D

** Question.** An exterior angle is drawn to a triangle. If this exterior angle is acute, then the triangle must be

(a) an acute angled triangle

(b) a right triangle

(c) an obtuse angled triangle

(d) an equilateral triangle

## Answer

C

** Question.** If the measure of each base angle of an isosceles triangle is seven times the measure of the vertex angle, then the measure of the vertex angle is

(a) 84°

(b) 48°

(c) 12°

(d) 24°

## Answer

C

** Question.** If the vertex angle of an isosceles triangle is 80°, then the measure of an exterior angle to one of the base angles of this triangle is

(a) 100°

(b) 120°

(c) 110°

(d) 130°

## Answer

D

** Question.** In the given figure, if PQ ∥ RS and ∠ACS = 127°, then ∠BAC is equal to

(a) 53°

(b) 77°

(c) 50°

(d) 107°

## Answer

B

** Question.** In the given figures, which pairs of angles represent a linear pair?

(a) (i) and (iii)

(b) (iii) and (iv)

(c) (iii) and (v)

(d) (i), (ii) and (v)

## Answer

D

** Question.** The base BC of triangle ABC is produced both ways and the measures of exterior angles formed are 94° and 126°. Then, the measure of ∠BAC is

(a) 94°

(b) 54°

(c) 40°

(d) 44°

## Answer

C

** Question.** In the given figure, if AB divides ∠DAC in the ratio 1 : 3, then the measure of angle marked x is

(a) 108°

(b) 100°

(c) 80°

(d) 90°

## Answer

D

** Question.** The value of x in the given figure is

(a) 65°

(b) 95°

(c) 80°

(d) 120°

## Answer

D

** Question.** If one of the angles of an isosceles triangle is 125°, then the angle between the bisectors of the other two angles is

(a) 125.5°

(b) 152.5°

(c) 152°

(d) 125°

## Answer

B

**Question. The measure of an angle which is 32° less than its supplement is**(a) 148°

(b) 58°

(c) 74°

(d) 122°

## Answer

C

** Question.** ΔABC is a right triangle in which ∠A is a right angle. AL is drawn perpendicular to BC. If ∠BAL is 35°, then the measure of ∠ACB is

(a) 70°

(b) 17.5°

(c) 35°

(d) 105°

## Answer

C

** Question.** The side BC of ΔABC is produced to point D. The bisectors of ∠ABC and ∠ACD meet at a point E. If ∠BAC = 68°, then the measure of ∠BEC is

(a) 30°

(b) 32°

(c) 36°

(d) 34°

## Answer

D

** Question.** In the given figure, ABCD is a quadrilateral in which ∠ABC = 73°, ∠C = 97° and ∠D = 110°. If AE ∥ DC and BE ∥ AD and AE intersects BC at F, then the measure of ∠EBF is

(a) 23°

(b) 70°

(c) 10°

(d) 27°

## Answer

D

** Question.** In the given figure, AB ∥ CD ∥ EF and GH ∥ KL. The measure of angle HKL is

(a) 95°

(b) 145°

(c) 130°

(d) 135°

## Answer

B

** Question. **The angle between the bisectors of two acute angles of a right triangle is

(a) 135°

(b) 120°

(c) 90°

(d) 150°

## Answer

A

** Question.** The value of x in the given figure is

(a) 100°

(b) 70°

(c) 110°

(d) 150°

## Answer

A

** Question.** In the given figure, AB ∥ CD. Transversal EF intersects AB at P and CD at Q. ∠PRQ = x,∠RPQ = y. If ∠APR = 25°, ∠RQC = 30° and ∠CQF = 65°, then the measures of angle x and y respectively are

(a) 55°, 40°

(b) 50°, 45°

(c) 60°, 35°

(d) 35°, 60°

## Answer

A

** Question.** If two parallel lines are cut by a transversal, then the bisectors of the interior angles on the same side of the transversal intersect each other at

(a) 60°

(b) 90°

(c) 100°

(d) 120°

## Answer

B

** Question.** In the given figure, if AB ∥ CD, then the value of x is

(a) 97°

(b) 100°

(c) 107°

(d) 45°

## Answer

A

** Question.** In the given figure, if POQ is a straight line, then the value of x is

(a) 20°

(b) 30°

(c) 40°

(d) 50°

## Answer

B

** Question.** BO and CO, the bisectors of ∠B and ∠C respectively, of ΔABC, meet at O. If ∠A = 60°, then the measure of ∠BOC is

(a) 100°

(b) 90°

(c) 120°

(d) 150°

## Answer

C

** Question.** In the given figure, AB ∥ CD and EF ∥ BD. If ∠ABD = 65°, then the measure of ∠CFE is

(a) 120°

(b) 115°

(c) 65°

(d) 165°

## Answer

B

** Question.** If two parallel lines are intersected by a transversal, then the bisectors of the interior angles form a

(a) kite

(b) rhombus

(c) rectangle

(d) trapezium

## Answer

C

** Question.** ABC is a right triangle, right angled at B. BC = BA. D is a point on AC produced and a line DEF cuts CB at E, AB at F. If ∠D = 13° and ∠FAE = 29°, then the measure of ∠FEA is

(a) 31°

(b) 42°

(c) 29°

(d) 16°

## Answer

C

** Question.** If the bisectors of base angles of a triangle enclose an angle of 135°, then the triangle is

(a) an acute angled triangle

(b) an obtuse angled triangle

(c) an equilateral triangle

(d) a right triangle

## Answer

D

**Question. **In ΔXYZ, XY = XZ. A straight line cuts XZ at P, YZ at Q and XY produced at R. If YQ = YR and QP = QZ, then the measure of ∠PQY is

(a) 100°

(b) 124°

(c) 144°

(d) 140°

## Answer

C

**Question. **ABC is an equilateral triangle and BDC is an isosceles triangle right angled at D.∠ABD is equal to

(a) 45°

(b) 60°

(c) 105°

(d) 120°

## Answer

C

**Question.** ABC is a triangle in which BE ⊥ AC and CD ⊥ AB. BE and CD intersect at O. If ∠BAC = 75°, then the measure of ∠BOC is

(a) 100°

(b) 105°

(c) 75°

(d) 115°

## Answer

B

We hope the above multiple choice questions for Class 9 Mathematics for Chapter 6 Lines and Angles provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Lines and Angles is an important chapter in Class 9 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of Class 9 students. Please go through these and let us know if you have any feedback in the comments section.