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seraphim [82]
3 years ago
5

The measure of an interior angle of regular polygon four times the measure of an exterior angle of the same polygon . What is th

e name of the polygon
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
<span>Each Exterior Angle = (360 degrees) ÷ (Number of Sides)
Each Interior Angle = 180 - (360 / Number of Sides)

Therefore, since one angle is 4 times the other then,
</span>
4 * (360 degrees) / (Number of Sides) = <span>180 - (360 / Number of Sides)

Number of sides = 10 (it is a decagon)



</span>
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