Find the number of sides if a regular polygon whose interior angle is 45 degree.
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Answered by
4
Answer:
83
Step-by-step explanation:
First use the angle formula! (No necessary need for degrees, they cancel out on both sides)
180×(n−2)n=45
n−2n=1−2n=14
2n=34
1n=38
n=83
Hope it helps
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Answered by
41
Sum of exterior angle of any polygon is 360°
As each exterior angle is 45°
Then the number of angles or sides of the polygon is :
Further as each exterior angle is
45° each interior angle is ,
→180° - 45° = 135°
As there are 8 interior angles each is 135°.
★The sum of the interior angles of the polygon is :
135° × 8° = 1080°
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