The number of sides in a regular polygon having measure of an exterior angle as 72° is __________. Fill in the blanks to make the statement true.
Solution:
Given, The number of sides in a regular polygon having measure of an exterior angle as 72° is __________.
We have to fill in the blanks to make the statement true.
A regular polygon has all angles of the same measure at each vertex and all sides of the same length.
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 = 72°
n = 360°/72°
= 5
Therefore, the number of sides is 5.
✦ Try This: The number of sides in a regular polygon having measure of an exterior angle as 36° 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 80
The number of sides in a regular polygon having measure of an exterior angle as 72° is __________. Fill in the blanks to make the statement true.
Summary:
The number of sides in a regular polygon having measure of an exterior angle as 72° is 5.
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