Find the measure of each interior angle of a regular decagon.

bonconseilmpc

bonconseilmpc

Answered question

2023-02-13

Find the measure of each interior angle of a regular decagon.

Answer & Explanation

eminecic2rg

eminecic2rg

Beginner2023-02-14Added 10 answers

Knowing that the total lengths of an interior angle in a polygon with n sides is = ( n 2 ) × 180 degrees.
For decagon, the number of sides =10
So, the sum of measures of interior angles of decagon is = ( 10 2 ) × 180
= 8 × 180 = 1440
Thus, the measure of each interior angle = sum of measures of interior angles ÷ total number of sides
= 1440 10
Hence, the measure of each interior angle is 144

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