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# The measure of each angle of a regular pentagon is __________. Fill in the blanks to make the statement true.

**Solution:**

Given, The measure of each angle of a regular pentagon is __________.

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

A pentagon is a geometric two-dimensional shape with five sides and five angles.

We know that the sum of interior angles of a __polygon__ is (n - 2) x 180°,

where n is the number of sides of the polygon.

Here, n = 5

Sum of angles = (5 - 2) x 180°

= 3 x 180°

= 540°

The sum of angles of a pentagon is 540°.

Measure of each interior angle = sum of interior angle/n

= 540°/5

= 108°

Since it is a regular polygon, all the interior angles are the same.

**✦ Try This: **The measure of each angle of a regular octagon 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 64**

## The measure of each angle of a regular pentagon is __________. Fill in the blanks to make the statement true.

**Summary:**

The measure of each angle of a regular pentagon is 108°.

**☛ Related Questions:**

- The name of three-sided regular polygon is __________. Fill in the blanks to make the statement true . . . .
- The number of diagonals in a hexagon is __________. Fill in the blanks to make the statement true
- A polygon is a simple closed curve made up of only __________. Fill in the blanks to make the statem . . . .

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