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marissa [1.9K]
3 years ago
13

The interior angle of a regular

Mathematics
1 answer:
Alexxx [7]3 years ago
7 0

Answer:

12

Step-by-step explanation:

The sum of the exterior and interior angles = 180°

let x be the measure of the exterior angle then interior angle is 5x and

5x + x = 180

6x = 180 ( divide both sides by 6 )

x = 30

The sum of the exterior angles of a polygon = 360°, thus

number of sides = \frac{360}{30} = 12

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