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Can you help me wit #3 part a,b,c

Can You Help Me Wit 3 Part Abc class=

Sagot :

Mathstudent55idn

Answer:

3a. The polygon has 15 sides, so it is a pentadecagon or a 15-gon.

3b. Each interior angle measures 156°.

3c. The measure of an exterior angles is 24°

Step-by-step explanation:

3a

(n - 2)180 = 2340

n - 2 = 13

n = 15

The polygon has 15 sides, so it is a pentadecagon or a 15-gon.

3b

2340/15 = 156

Each interior angle measures 156°.

3c

There are 2 ways to calculate the measure of an exterior angle.

Method 1:

Each exterior angle is supplementary to its adjacent interior angle.

156 + x = 180

x = 24

Method 2:

The sum of the measures of the exterior angles of a polygon, 1 per vertex, is 360, no matter the number of sides.

360°/15 = 24°

The measure of an exterior angles is 24°

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