Question

The sum of interior angles of a polygon of 10 sides is……

Answer 1

Answer:

1,440°

Step-by-step explanation:

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440° .

Answer 2

The sum of interior angles of a polygon of 10 sides = 1440°

Given :

A polygon has 10 sides

To find :

The sum of interior angles of a polygon of 10 sides

Formula :

The sum of the measures of the interior angles of a polygon with n sides is (n – 2) × 180°

Solution :

Step 1 of 2 :

Write down number of sides

The polygon has 10 sides

So n = 2

Step 2 of 2 :

Find sum of interior angles

Hence sum of interior angles of a polygon of 10 sides

= ( 10 - 2 ) × 180°

= 8 × 180°

= 1440°

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