dreamcookiesyt
Answered

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Interior angle is (12x+12)°.
The exterior angle is (5x+15)°

how many sides does the polygon have?​

Sagot :

CrazyBun
Answer: It has 4 sides

Answer:

6 sides

Step-by-step explanation:

The interior angle and exterior angle sum to 180° , then

12x + 12 + 5x + 15 = 180

17x + 27 = 180 ( subtract 27 from both sides )

17x = 153 ( divide both sides by 17 )

x = 9

Then

exterior angle = 5x + 15 = 5(9) + 15 = 45 + 15 = 60°

The sum of the exterior angles of a polygon = 360° , thus number of sides n is

n = 360° ÷ 60° = 6

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