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CBSE Class 9 Mathematics Worksheet

Unit 4-Geometry - Lines and angles

1.

In the given figure if  and are in the ratio 2:3. Find .

A) 36° B) 72° C) 144° D) 108°
2.

In the given figure find the sum of .

A) 360° B) 180° C) 90° D) 540°
3.

In the figure, find the value of x?

A)

120°

B)

130°

C)

145°

D)

75°

4.

In the given figure if  y = 40°, find x.

A) 35° B) 140° C) 40° D) 70°
5.
Find the measure of an angle, if seven times its complement is 10 less than three times its supplement.
A) 60° B) 30° C) 150° D) 10°
6.
State True/False: The sum of the angles of a triangle is 360°.
A) true B) false
7.
Fill in the blanks: If the sides of a triangle are produced in order, prove that the sum of the exterior angles so formed is equal to ______.
A) 90° B) 360° C) 180° D) 540°
8.
Fill in the blanks: If one angle of a triangle is equal to the sum of the other two angles, then the triangle is _______.
A) an isosceles triangle B) an obtuse triangle C) a right triangle D) an equilateral triangle
9.
Fill in the blanks: An exterior angle of a triangle is 120° and its two interior opposite angles are equal. Each of these equal angles is _______.
A) 60° B) 30° C) 120° D) None of these
10.

In the given figure AB||CD. If  a = 40°, find b?

A) 35° B) 140° C) 40° D) 50°
11.

In the given figure, if AB || DE, ∠ BAC = 35° and ∠ CDE = 53°, find ∠ DCE?

A) 92° B) 72° C) 145° D) 60°
12.

A)

75

B)

285

C)

200

D)

135

13.

A)

30

B)

45

C)

55

D)

90

14.

In the given figure if a – b = 120°,  where AOB is a line, find a?

A) 150° B) 120° C) 60° D) 30°
15.

In the given figure if , find   where AOB is a line.

A) 120° B) 130° C) 60° D) 30°
16.

In the figure if AB || CD, CD || EF and y : z = 2 : 3, find x?

A)

36°

B)

72°

C)

108°

D)

60°

17.

A)

115

B)

110

C)

45

D)

55

18.
Two angles of a triangle are equal and the third angle is greater than each one of them by 18 . Find the greatest angle.
A) 72° B) 54° C) 90° D) None of these
19.
Fill in the blanks: If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can be ________.
A) 60° B) 30° C) 150° D) 100°
20.
The angles of triangle are (x + 10°), (2x – 30°) and x°. Find the value of x.
A) 30° B) 50° C) 60° D) 40°

CBSE Class 9 Mathematics Worksheet

Unit 4-Geometry - Lines and angles

Answers

1.
Option B
2.
Option A
3.
Option B
4.
Option D
5.
Option D
6.
Option B
7.
Option B
8.
Option C
9.
Option B
10.
Option C
11.
Option A
12.
Option B
13.
Option A
14.
Option A
15.
Option C
16.
Option C
17.
Option C
18.
Option A
19.
Option C
20.
Option B

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