# 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°

A

Question. The measure of an angle which is four times its complement is
(a) 78°
(b) 76°
(c) 72°
(d) 74°

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°

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°

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°

D

Question. The measure of an angle which is 24° more than its complement is
(a) 66°
(b) 57°
(c) 156°
(d) 114°

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

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°

A

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

(a) 30
(b) 25
(c) 35
(d) 40

A

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

(a) 100°
(b) 140°
(c) 260°
(d) 130°

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°

D

Question. The measure of x in the given figure is

(a) 35°
(b) 25°
(c) 30°
(d) 20°

C

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

(a) 65°
(b) 40°
(c) 25°
(d) 90°

D

Question.The measure of x in the given figure is

(a) 125°
(b) 70°
(c) 105°
(d) 100°

A

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

(a) 18°
(b) 72°
(c) 54°
(d) 100°

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°

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°

A

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

(a) 70°
(b) 100°
(c) 40°
(d) 30°

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

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°

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°

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

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

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°

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°

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°

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)

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°

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°

D

Question. The value of x in the given figure is

(a) 65°
(b) 95°
(c) 80°
(d) 120°

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°

B

Question. The measure of an angle which is 32° less than its supplement is
(a) 148°
(b) 58°
(c) 74°
(d) 122°

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°

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°

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°

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°

B

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

(a) 135°
(b) 120°
(c) 90°
(d) 150°

A

Question. The value of x in the given figure is

(a) 100°
(b) 70°
(c) 110°
(d) 150°

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°

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°

B

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

(a) 97°
(b) 100°
(c) 107°
(d) 45°

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°

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°

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°

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

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°

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

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°

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°

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°