Find the measure of each angle of a regular octagon.

Solution:

Given, the quadrilateral is a regular octagon.

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

An octagon can be defined as a polygon with eight sides, eight interior angles, and eight vertices.

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

Here, n = 8

Each interior angle = (2(8) - 4)/8 × 90°

= (16 - 4)/8 × 90°

= 12/8 × 90°

= 3/2 × 90°

= 3 × 45°

= 135°

Therefore, the measure of each interior angle of a regular octagon is 135°.

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

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 167

Find the measure of each angle of a regular octagon.

Summary:

The measure of each angle of a regular octagon is 135°

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