Triangle and Its Properties Class 7 Worksheets

# Triangle and Its Properties Class 7 Worksheets

Triangle and Its Properties Class 7 Worksheets play a major role for strengthening the maths concepts.

## 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, 2x and 3x, 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 2x – 16°, 12x + 15°, 8x + 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’.

2.
Angles of a triangle are x + 11°, 2x – 7° and 2x + 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°

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

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