The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is __________. Fill in the blanks to make the statement true.

Solution:

Given, The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is __________.

We have to fill in the blanks to make the statement true.

An exterior angle is defined as the angle that is formed outside the polygon between a side of the polygon and its adjacent extended side.

To find the number of sides when the measure of each exterior angle is given,

n = 360°/exterior angle

Given, exterior angle = 36°

n = 360°/36°

= 10

Therefore, the number of sides is 10.

✦ Try This: The number of sides of a regular polygon, where each exterior angle has a measure of 90°, is __________. Fill in the blanks to make the statement true.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Problem 61

The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is __________. Fill in the blanks to make the statement true

Summary:

The number of sides of a regular polygon, where each exterior angle has a measure of 36°, is 10.

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