Shahana90idn
Answered

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

A.13° C.24°

B.32° D.25°​

Sagot :

Mattescarroidn

Answer:

C

Step-by-step explanation:

The given polygon is a 15-gon.

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.

LET x - be the measure of exterior angle.

x + 156 =180

x = 180 - 156

x = 24