Test Test 3 Geometry This Question 5 pts 11 of 20 0 complet

Test: Test 3 - Geometry This Question: 5 pts 11 of 20 (0 complete) ? Determine the sum of the measures of the interior angles of a decagon The sum of the measures of the interior angles of a decagon is? Enter your answer in the answer box

Solution

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A decagon has 10 sides.

Within a single triangle, x is what we have at the center

So, 10x = 360 , x= 36 ( angle made at center is 360)

So, the other 2 angles being equal , let them be y, 2y+x = 180

2y + 36 = 180

x= 72

Double that will given measure of a single exterior angle = 72*2 = 144

Thus 10 times that is 1440. So sum of interior angles is 1440