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Interior angle + exterior angles = $180^o$
$\frac{x-36}{3}$ + x = 180
$\frac{x-36+3x}{3}$ = 180
4x - 36 = 540;
4x = 576
x = 144
Exterior angle
= $\frac{144-36}{3}$ = $\frac{108}{3}$ = $36^o$
the number of sides = $\frac{360}{36}$ = 10
Sum of interior angle is
= (2n - 4)90 = (2 x 10 - 4)90
= (20 - 4)90 = 16 x 90 = $1440^o$
x = 144
Exterior angle
= $\frac{144-36}{3}$ = $\frac{108}{3}$ = $36^o$
the number of sides = $\frac{360}{36}$ = 10
Sum of interior angles is
= (2n - 4)90 = (2 x 10 - 4)90
= (20 - 4)$90^o$ = 16
johnmulu answered the question on June 10, 2017 at 06:22
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