Q 1 – In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in the figure. The measure of ∠BOC is
(a) 40°
(b) 65°
(c) 115°
(d) 140°
Ans. (b) 65°
Q 2 – Two angles whose sum is equal to 180° are called:
a) Vertically opposite angles
b) Complementary angles
c) Adjacent angles
d) Supplementary angles
Ans. d) Supplementary angles
Q 3 – The bisectors of the base angles of an isosceles triangle ABC, with AB = AC, meet at O. If ∠B = ∠C = 50°. What is the measure of angle O?
(a) 120°
(b) 130°
(c) 80°
(d) 150°
Ans. (b) 130°
Q 4 – An exterior angle of a triangle is 80° and the interior opposite angles are in the ratio 1 : 3, a measure of interior opposite angles are
(a) 30°, 90°
(b) 40°, 120°
(c) 20°, 60°
(d) 30°, 60°.
Ans. (c) 20°, 60°
Q 5 – 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
Ans. d) 8
Q 6 – Find the measure of the angle which is the complement of itself.
(a) 30°
(b) 90°
(c) 45°
(d) 180°
Ans. (c) 45°
Q 7 – In ΔABC, the bisectors of ∠ABC and ∠BCA intersect each other at O. The measure of ∠BOC is
(a) 90° + ∠A
(c) 180 – ∠A
Q 8 – Sum of the measure of an angle and its vertically opposite angle is always.
(a) Zero
(b) Thrice the measure of the original angle
(c) Double the measure of the original angle
(d) Equal to the measure of the original angle
Ans. (c) Double the measure of the original angle
Q 9 – If two complementary angles are in the ratio 13: 5, then the angles are:
a) 13xo, 5xo
b) 25o, 65o
c) 65o, 25o
d) 65o, 35o
Ans. c) 65o, 25o
Q 10 – In figure if ∠A + ∠B + ∠C + ∠D + ∠E + ∠F = k right angles, then find value of k.
(а) 2
(b) 3
(c) 4
(d) 5
Ans. (c) 4
Q 11 – The diagonals of the rectangle ABCD intersect at O. If ∠COD = 78°, then ∠OAB is:
a) 35o
b) 51o
c) 70o
d) 110o
Ans. b) 51o
Q 12 – In the given figure, find the value of x:
a) 40o
b) 50o
c) 60o
d) 80o
Ans. b) 50o
Q 13 – Two angles whose measures are a & b are such that 2a – 3b = 60° then 5b = ?, if they form a linear pair:
(a) 120°
(b) 300°
(c) 60°
(d) None of these
Ans. (b) 300°
Q 14 – In the given figure, the measure of ∠ABC is
(a) 80°
(b) 20°
(c) 100°
(d) 60°
Ans. (a) 80°
Q 15 – If one angle of a triangle is equal to the sum of the other two angles then the triangle is :
(a) Acute triangle
(b) Obtuse triangle
(c) Right triangle
(d) None of these
Ans. (c) Right triangle
Q 16 – In the given figure, if the angles a and b are in the ratio 2 : 3, then angle c is:
a) 90o
b)126o
c) 144o
d) Obtuse angle
Ans. c) 144o
Q 17 – The angle of a triangle are in the ratio 5 : 3: 7, the triangle is
(а) an acute-angled triangle
(b) an obtuse-angled triangle
(c) an right-angled triangle
(d) an isosceles triangle.
Ans. (а) an acute-angled triangle
Q 18 – If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the ____ interior opposite angles.
(a) Two
(b) Four
(c) One
(d) Three
Ans. (a) Two
Q 19 – In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of x is:
a) 40o
b) 50o
c) 60o
d) 70o
Ans. b) 50o
Q 20 – Which of the following statements is false?
(a) A line can be produced to any desired length.
(b) Through a given point, only one straight line can be drawn.
(c) Through two given points, it is possible to draw one and only one straight line
(d) Two straight lines can intersect in only one point
Ans. (b) Through a given point, only one straight line can be drawn.
Q 21 – In figure l1 || l2, the value of x is
(a) 80°
(b) 100°
(c) 110°
(d) 70°
Ans. (a) 80°
Q 22 – 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
Ans. (d) a right triangle
Q 23 – In Figure measure of ∠ABC is
(a) 60°
(b) 70°
(c) 80°
(d) 50°
Ans. (a) 60°
Q 24 – Two parallel lines intersect at:
(a) One point
(b) Two points
(c) Three points
(d) Null
Ans. d) Null
Q 25 – In the figure, PS ⊥ l, RQ ⊥ l, the degree measure of y is
(a) 55°
(b) 90°
(c) 80°
(d) 135°
Ans. (c) 80°
Q 26 – An acute angle is:
(a) More than 90 degrees
(b) Less than 90 degrees
(c) Equal to 90 degrees
(d) Equal to 180 degrees
Ans. b) Less than 90 degrees
Q 27 – Given lines l1 || l2 and l2 || l3 in figure. The value of x is
(a) 40°
(b) 140°
(c) 50°
(d) 80°
Ans. (b) 140°
Q 28 – Two lines are parallel to each other, only when
(a) They do not intersect each other when extended on either side
(b) The lines lie on the same plane
(c) They are parallel to the plane in which they lie
(d) Their point of intersection is a unique point
Ans. (a) They do not intersect each other when extended on either side
Q 29 – In the figure, find the value of y.
(a) 28°
(b) 40°
(c) 140°
(d) 56°
Ans. (a) 28°
Q 30 – The angles of a triangle are in the ratio 2 : 3 : 4. The angles, in order, are :
(a) 80°, 40°, 60°
(b) 20°, 60°, 80°
(c) 40°, 60°, 80°
(d) 60°, 40°, 80°
Ans. (c) 40°, 60°, 80°
Q 31 – In the given figure, if AOB is a straight line, then ∠BOC is
(a) 80°
(b) 70°
(c) 60°
(d) 20°
Ans. (a) 80°
Q 32 – X lies in the interior of ∠BAC. If ∠BAC = 70° and ∠BAX = 42° then ∠XAC =?
(a) 28°
(b) 29°
(c) 27°
(d) 30°
Ans. (a) 28°
Q 33 – 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
Ans. a) Equal
Q 34 – A reflex angle is:
a) More than 90°
b) Equal to 90°
c) More than 180°
d) Equal to 180°
Ans. c) More than 180°