# In Fig. 6.31(ii), find the values of a, b and c.

**Solution:**

Given, the figure represents a triangle ABC.

We have to determine the values of a, b and c.

Angle sum property of a triangle states that the sum of all three interior angles of a triangle is always equal to 180 degrees.

Considering triangle PQS,

By angle sum property,

∠QPS + ∠PQS + ∠PSQ = 180°

55° + 60° + a = 180°

a + 115° = 180°

a = 180° - 115°

a = 65°

Considering triangle PQR,

∠P + ∠Q + ∠R = 180°

55° + c + 60 + 40 = 180°

55° + 100° + c = 180°

155° + b = 180°

c = 180° - 155°

c = 25°

Considering triangle PSR,

∠PSR + ∠SPR + ∠PRS = 180°

c + b + 40° = 180°

25° + b + 40° = 180°

65° + b = 180°

b = 180° - 65°

b = 115°

Therefore, the values of a, b and c are 65°, 115° and 25°.

**✦ Try This: **Find the value of x.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 6

**NCERT Exemplar Class 7 Maths Chapter 6 Problem 109 (ii)**

## In Fig. 6.31(ii), find the values of a, b and c.

**Summary:**

In Fig. 6.31(ii), the values of a, b and c are 65°, 115° and 25°.

**☛ Related Questions:**

- In triangle XYZ, the measure of angle X is 30° greater than the measure of angle Y and angle Z is a . . . .
- In a triangle ABC, the measure of angle A is 40° less than the measure of angle B and 50° less than . . . .
- I have three sides. One of my angles measures 15°. Another has a measure of 60°. What kind of a poly . . . .

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