# In Fig. 6.31(i), 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 ABC,

∠A + ∠B + ∠C = 180°

90° + a + 70° = 180°

a + 160° = 180°

a = 180° - 160°

a = 20°

Considering triangle ABD,

∠BAD + ∠ABD + ∠BDA = 180°

30° + a + b = 180°

30° + 20° + b = 180°

50° + b = 180°

c = 180° - 50°

b = 130°

Considering triangle ADC,

∠ADC + ∠DAC + ∠ACD = 180°

c + 60° + 70° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

Therefore, the values of a, b and c are 20°, 130° and 50°.

**✦ 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 (i)**

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

**Summary:**

In Fig. 6.31(i), the values of a, b and c are 20°, 130° and 50°.

**☛ Related Questions:**

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