Question

an octagon has two pairs of equal angles ,one measuring 72° and the other56° and 4 equal angles . find the size of equal angles

Answer 1

72+72+56+56+4x=1080
256+4x=1080
4x=1080-256
4x=824
X=824/4
x=206°

Answer 2

The measurement of equal angle = 206°

Given:

An octagon has two pairs of equal angles,

One measuring 72° and the other 56°

And 4 equal angles

To find:

Find the measurements of equal angles  

Solution:

As we know octagon is a 8 sided polygon

Then number of interior angles = 8

And sum of interior angle = 1080

Let equal x be the equal measurements of 4 angle

⇒ 2(72) + 4x +2(56) = 1080°

⇒ 144° + 4x + 112° = 1080°

⇒ 256° + 4x = 1080°

⇒ 4x = 824°

⇒ x = 206°

Therefore, the measurement of equal angle = 206°

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