The sum of two of the angles of a heptagon is 200ᵒ. If the remaining angles are equal, find the value of each of the remaining angles.

Question

asked Jun 1, 2021 207k views

1 Answer

MarmiK · Answer 1 · 2021-06-05T12:43:21+0000

Answer: 140°

Explanation:

Heptagon is a seven-sided polygon. So heptagon has 7 angles.

As known the sum of the angles in poligon is

N=180°*(n-2)

So N(7)=180°*(7-2)=900°

if the sum of 2 angles are 200° then the sum of residual 5 angles is

900°-200°=700°

The remaining 5 angles are equal so each of them is

∠α=700°:5=140°