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# Find x in the following figures

**Solution:**

We know that the sum of the measures of the exterior angles of any polygon is 360°. So we will equate all the angle sum to 360° and find out the unknown angle.

(a)

Sum of the measures of the external angles,

125° + 125° + x° = 360°

250° + x° = 360°

x° = 110°

(b)

y = 180° - 90° [linear pair angles]

y = 90°

Sum of the measures of the external angles is 360°,

60° + 90° + 70° + x + y = 360°

60° + 90° + 70° + x + 90° = 360°

310° + x = 360°

x = 50°

**☛ Check: **Class 8 Maths NCERT Solutions Chapter 3

**Video Solution:**

## Find x in the following figures

NCERT Solutions Class 8 Maths Chapter 3 Exercise 3.2 Question 1

**Summary:**

The value of x in the following figures are: (a) The value of x is 110°. (b) The value of x is 50°.

**☛ Related Questions:**

- Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides.
- How many sides does a regular polygon have if the measure of an exterior angle is 24°?
- How many sides does a regular polygon have if each of its interior angles is 165°?
- (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°? (b) Can it be an interior angle of a regular polygon? Why?

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