One exterior angle of a regular polygon measures 40. What is the sum of the polygon's interior angle measures? Please show working.

assupecoitteem81

assupecoitteem81

Answered question

2022-11-04

One exterior angle of a regular polygon measures 40. What is the sum of the polygon's interior angle measures? Please show working.

Answer & Explanation

Berattirna

Berattirna

Beginner2022-11-05Added 19 answers

Step 1
If one exterior angle = 40 0 this gives us the following information
number of sides = 360 40 = 9 sides
one interior angles = 180 - 40 = 140 0
so the sum of interior angles = 9 × 140
= 1260 0

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