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Flornelbalmesgo
Answered

Find the measure of one exterior angle of a regular polygon whose sum of the interior angle is 2 340°.

a. 13°
b. 32°
c. 24°
d. 25°​

Sagot :

Abzhatang99go

Answer:

C. 24°

Step-by-step explanation:

15-gon have the sum of 2340 interior angles.

first, you need to get the interior angle.

formula :

(n-2)(180°)/n where n= number of sides of polygon

(n-2)(180°)/n

(15-2)(180°)/15

(13)(180°)/15

2340°/15

156° each of the interior angle

We all know that the sum of interior and exterior angle is 180°

So,

156°+X=180°

X=180°-156

X=24°

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