**Triangle and
Its Properties Class 7 Worksheets**

**Triangle and Its Properties Class 7 Worksheets** play a vital role in strengthening the maths
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**Triangle and
Its Properties Class 7 Worksheet 1**

**1. **In triangle ABC, the ratio of the angles is 6
: 7 : 5. Find the angles.

**2.
**Find the angles of a triangle, if they are in
the ratio 1 : 2 : 3.

**3. **The base angles of a right-angled triangle is 10° less than the
vertical angle. Find the angles.

**4.
**If two angles of a triangle are complementary,
find the third angle.

**5. **ABC is an isosceles triangle with AB = AC. If angle BAC = 48°, find angle ACB and ABC.

**6. **If two angles of a triangle are 75° and 34°, find the third angle
and hence name the type of triangle.

**7. **Find the unknown marked angles for the
following figures:

**8.
**Fill in the blanks.

a.
A triangle is a ___________ sided figure whose angles adds up to ___________.

b.
In an acute-angled triangle, all angles are less than ___________.

c.
If the angles of a triangle are *x*, 2*x *and 3*x*, then the
triangle is a ___________ triangle.

d.
All sides of a scalene triangle are ___________.

e.
The exterior angle of a triangle is equal to the sum of the ___________ angles.

**9.
**Choose the correct option.

a.
If one angle of a triangle is obtuse, then the other two angles are

i. 60°

ii. obtuse

iii. 90°

iv. acute

b.
If one angle of an isosceles triangle is 75°, then the other two angles are

i. 75°, 30°

ii. 60°, 75°

iii. 75°, 20°

iv. 75°, 75°

c.
In an isosceles right-angled triangle, the other two angles are

i. 60°, 30°

ii. 45°, 45°

iii. 50°, 40°

iv. 70°, 20°

d.
If three angles of a triangle are 2*x *– 16°, 12*x *+ 15°, 8*x *+
5°, then *x *is equal to

i. 8

ii. 18

iii. 16

iv. 20

**Triangle and
Its Properties Class 7 Worksheet 2**

**1. **Match the following with the correct value of
‘*x*’.

**Angles of a triangle are2.
**

*x*+ 11°, 2

*x*– 7° and 2

*x*+ 6°. Find the angles.

**3. **In a triangle ABC, BC is produced to D. If <ACD = 135° and
<BAC = 55°, find the remaining angle.

**4.
**Ratio of three angles of a triangle is 5 : 7 :
3, find the angles.

**5.
**One of the equal angles of an isosceles
triangle is 65°. Find the other two angles.

**6. **Find the unknown marked angles.

**7. **State true or false.

a.
A triangle has only three angles.

b. A triangle may
have the given angles 30°, 60° and 90°.

c.
Acute-angled triangle has one angle acute.

d. If measure of angles of a triangle
are 45°, 30° and 35°, then it is an acute-angled triangle.

**8.
**Choose the correct option.

a.
An equilateral triangle has all its angles equal to

i. 60°

ii. 30°

iii. 45°

iv. 50°

b.
Sum of the angles of a triangle is

i. 360°

ii. 90°

iii. 180°

iv. 270°

c. Exterior angle of a triangle is
118°. If one of the interior opposite angles is 48°, then the other interior
opposite angle is

i. 45°

ii. 60°

iii. 70°

iv. 54°

d.
Three angles of a triangle are in the ratio 3 : 5 : 4, then the largest angle
measures

i. 75°

ii. 60°

iii. 45°

iv. 90°

**ANSWERS**

**Worksheet 1**

1. 60°; 70°; 50°

2. 30°; 60°; 90°

3. 50°; 40°

4. 90°

5. 66°; 66°

6. 71°;
Acute-angled triangle

7. a. x = 80°;
y = 40°; z = 140°

b. x = 38°; y = 96°; z = 96°; a = 46°

c. x = 52°; y = 108°; z = 52°

d. x = 60°; y = 110°; z = 70°; a = 50°

e. x = 60°; y = 60°; a = 60°; b = 60°; c = 60°

8. a. three;
180° b. 90°

c. right-angled d. unequal

e. opposite interior

9. a. iv b. i

c. ii d. i

**Worksheet 2**

1. a.
iii b. iv

c. ii d. i

e. v

2. 45°; 61°;
74°

3. ∠ABC = 80°; ∠ACB = 45°

4. 60°; 84°; 36°

5. 65°; 50°

6. a.

7. a.
True b. True

c. False d. False

8. a. i b. iii

c. iii d. i

**MCQs Questions for Class 7 Maths**

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**10. ****Percentage worksheet for class 7**

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