The number of sides of a regular polygon where each exterior angle has a measure of 45° is
(a) 8
(b) 10
(c) 4
(d) 6

Solution:

Given, each exterior angle of a regular polygon has a measure of 45°

We have to find the number of sides of a regular polygon.

We know that the sum of exterior angles taken in an order of a polygon is equal to 360 degrees.

Number of sides = sum of exterior angles / measure of an exterior angle

= 360°/45°

= 40/5

= 8°

Therefore, the number of sides is 8.

✦ Try This: The number of sides of a regular polygon where each exterior angle has a measure of 65° is

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 29

The number of sides of a regular polygon where each exterior angle has a measure of 45° is (a) 8 (b) 10 (c) 4 (d) 6

Summary:

The number of sides of a regular polygon where each exterior angle has a measure of 45° is 8.

☛ Related Questions:

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