Question

please answer this question​

Answer 1

${\huge {\underline {\underline {\mathfrak {\pink{AnSwEr}}}}}}$

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2.❇

Measure of Angle = 108°

So the measure of the exterior angle

= 180 - 108

= 72

So, the number of sides

$= \frac{360}{72}$

= 5

The number of sides = 5

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3.❇

Let the interior angle be x

Exterior angle will be (180 - x)

(180 - x) = 1x / 5

5(180 - x) = x

900 - 5x = x

900 = x + 5x

900 = 6x

x = 900 / 6

x = 150

Now each interior angle is 150°

Then the number of sides are

(n - 2) × 180 / n = 150

(n - 2 ) × 180 = 150n

n - 2 = 150n / 180

n - 2 = 5n/6

6(n - 2) = 5n

6n - 12 = 5n

6n - 5n = 12

n = 12

The number of sides are 12.

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