MCQ Questions of Lines and Angles | Math

Q1) Intersecting lines cut each other at

(A) One point

(B) Two points

(C) Three points

(D) Null

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Q2) Two parallel lines intersect at

(A) One point

(B) Two points

(C) Three points

(D) Null

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Q3) If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below. The value of ∠AGE is:

(A) 120°

(B) 140°

(C) 90°

(D) 135°

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Q4) If two lines intersect each other, then the vertically opposite angles are

(A) Equal

(B) Unequal

(C) Cannot be determined

(D) None of the above

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Q5) A line joining two endpoints are called

(A) Line segment

(B) A ray

(C) Parallel lines

(D) Intersecting lines

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Q6) An acute angle is

(A) More than 90 degrees

(B) Less than 90 degrees

(C) Equal to 90 degrees

(D) Equal to 180 degrees

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Q7) A reflex angle is

(A) More than 90 degrees

(B) Equal to 90 degrees

(C) More than 180 degrees

(D) Equal to 180 degrees

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Q8) A straight angle is equal to

(A) 0°

(B) 90°

(C) 180°

(D) 360°

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Q9) Two angles whose sum is equal to 180° are called

(A) Vertically opposite angles

(B) Complementary angles

(C) Adjacent angles

(D) Supplementary angles

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Q10) In the figure below, which of the following are corresponding angle pairs

(A) ∠p and ∠q

(B) ∠p and ∠w

(C) ∠p and ∠x

(D) ∠p and ∠z

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Q11) Value of x in the figure below is

(A) 20^o

(B) 40^o

(C) 80^o

(D) 160^o

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Q12) If two complementary angles are in the ratio 13 : 5, then the angles are

(A) 13x^o, 5x^o

(B) 25^o, 65^o

(C) 65^o, 25^o

(D) 65^o, 35^o

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Q13) The diagonals of the rectangle ABCD intersect at O. If ∠COD = 78°, then ∠OAB is

(A) 35^o

(B) 51^o

(C) 70^o

(D) 110^o

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Q14) If AB = x + 3, BC = 2x and AC = 4x – 5, then for what value of ‘x’, B lies on AC?

(A) 2

(B) 3

(C) 5

(D) 8

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Q15) In the given figure, find the value of x

(A) 40^o

(B) 50^o

(C) 60^o

(D) 80^o

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Q16) In the given figure, if the angles a and b are in the ratio 2 : 3, then angle c is

(A) 90^o

(B) 126^o

(C) 144^o

(D) Obtuse angle

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Q17) In the given figure, ∠1 = ∠2 then the measurements of ∠3 and ∠4 are

(A) 58^o, 61^o

(B) 61^o, 61^o

(C) 119^o, 61^o

(D) 119^o, 119^o

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Q18) In the figure, if x, y and z are exterior angles of ΔABC then x + y + z is

(A) 90^o

(B) 180^o

(C) 270^o

(D) 360^o

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Q19) In the figure, p || q. The value of x is

(A) 35^o

(B) 55^o

(C) 70^o

(D) 110^o

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Q20) In the given figure, if ∠ AOC = 50° then (∠AOD + ∠COB) is equal to

(A) 100^o

(B) 130^o

(C) 140^o

(D) 260^o

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Q21) In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is

(A) 40^o

(B) 50^o

(C) 60^o

(D) 70^o

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Q22) In the given figure, AB || CD then value of x is

(A) 45^o

(B) 60^o

(C) 90^o

(D) 105^o

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Q23) In the given figure, PQ || RS and ∠ACS = 127°, ∠BAC is

(A) 50^o

(B) 53^o

(C) 77^o

(D) 107^o

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Q24) In figure, AB || ED, the value of x is

(A) 26^o

(B) 36^o

(C) 54^o

(D) 62^o

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Q25) In the given figure, if AOB is a line then the measure of ∠BOC, ∠COD and ∠DOA respectively are

(A) 36^o, 54^o, 90^o

(B) 36^o, 90^o, 54^o

(C) 90^o, 36^o, 54^o

(D) 90^o, 54^o, 36^o

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Q26) In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is

(A) 40°

(B) 65°

(C) 115°

(D) 140°

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Q27) In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is

(A) 40°

(B) 65°

(C) 115°

(D) 140°

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Q28) In figure the value of x is

(A) 120°

(B) 130°

(C) 110°

(D) 100°

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Q29) An exterior angle of a triangle is 80° and the interior opposite angles are in the ratio 1 : 3, measure of interior opposite angles are

(A) 30°, 90°

(B) 40°, 120°

(C) 20°, 60°

(D) 30°, 60°

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Q30) In ΔABC, the bisectors of ∠ABC and ∠BCA intersect each other at O. The measure of ∠BOC is

(A) 90° + ∠A

(B) 90° + ∠A/2

(C) 180 – ∠A

(D) 90° – ∠A/2

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Q31) In figure if ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = k right angles, then find value of k.

(A) 2

(B) 3

(C) 4

(D) 5

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Q32) In the given figure, the measure of ∠ABC is

(A) 80°

(B) 20°

(C) 100°

(D) 60°

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Q33) The angle of a triangle are in the ratio 5 : 3 : 7, the triangle is

(A) an acute-angled triangle

(B) an obtuse angled triangle

(C) an right angled triangle

(D) an isosceles triangle.

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Q34) In figure l₁ || l₂, the value of x is

(A) 80°

(B) 100°

(C) 110°

(D) 70°

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Q35) If one angle of triangle is equal to the sum of the other two, then the triangle is

(A) an isosceles triangle

(B) an obtuse-angled triangle

(C) an equilateral triangle

(D) a right triangle

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Q36) One of the angles of a triangle is 75°. If the difference of other two is 35°, then the largest angle of other two angles has a measure

(A) 80°

(B) 75°

(C) 70°

(D) 135°

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Q37) An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is

(A) 37(1/2)°

(B) 52(1/2)°

(C) 72(1/2)°

(D) 75°

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Q38) In Figure measure of ∠ABC is

(A) 60°

(B) 70°

(C) 80°

(D) 50°

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Q39) In Figure AB || CD, the value of x is

(A) 35°

(B) 40°

(C) 60°

(D) 75°

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Q40) In the figure, PS ⊥ l, RQ ⊥ l, the degree measure of y is

(A) 55°

(B) 90°

(C) 80°

(D) 135°

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Q41) Each angle of an equilateral triangle is

(A) 50°

(B) 90°

(C) 54°

(D) 60°

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Q42) Given lines l₁ || l₂ and l₂ || l₃ in figure. The value of x is

(A) 40°

(B) 140°

(C) 50°

(D) 80°

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Q43) In figure, find the value of y.

(A) 28°

(B) 40°

(C) 140°

(D) 56°

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Q44) In the given figure, if AOB is a straight line, then ∠BOC is

(A) 80°

(B) 70°

(C) 60°

(D) 20°

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9th Class - Math | Chapter: Lines and Angles MCQs

Subjects (9th Class)

Chapters (Math)