Learn Ncert All Solutions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# Find the measure of each angle of a regular polygon of 20 sides?

**Solution:**

Given, the number of sides of a regular __polygon__ is 20.

We have to find the measure of each angle of a regular polygon.

We know, measure of each interior angle of a polygon = (2n - 4)/n × 90°

Here, n = 20

Each interior angle = (2(20) - 4)/20 × 90°

= (40 - 4)/20 × 90°

= 36/20 × 90°

= 36/2 × 9°

= 18 × 9°

= 162°

Therefore, the measure of each interior angle of a regular polygon is 162°.

**✦ Try This: **Find the measure of each angle of a regular hexagon.

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 201**

## Find the measure of each angle of a regular polygon of 20 sides?

**Summary:**

The measure of each angle of a regular polygon of 20 sides is 162°.

**☛ Related Questions:**

- Construct a parallelogram when one of its side is 4cm and its two diagonals are 5.6 cm and 7cm. Meas . . . .
- Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°
- Construct a trapezium ABCD where AB||CD, AD = BC = 3.2cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B an . . . .

Math worksheets and

visual curriculum

visual curriculum