If each interior angle is 4 times exterior angle then no of sides
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If each interior angle is 4 times exterior angle then no of sides will be 10.
Explaination:
We know sum of exterior angles of any polygon is always equals to 360°.
=>Sum of interior angles = 360° * 4
=>1440°
We can find the sum of interior angles of every regular polygon by using
180×(n−2)
n is how much sides of the polygon. Example, triangle has 3 sides, so the sum of its interior angle is 180×(3−2)=180°180×(3−2)=180°
And now back to your question, if the sum of interior angles is 1440°, so:
180×(n−2)=1440
n−2=1440 /180
n−2=8
n=10
Hence, number of side = 10.
Explaination:
We know sum of exterior angles of any polygon is always equals to 360°.
=>Sum of interior angles = 360° * 4
=>1440°
We can find the sum of interior angles of every regular polygon by using
180×(n−2)
n is how much sides of the polygon. Example, triangle has 3 sides, so the sum of its interior angle is 180×(3−2)=180°180×(3−2)=180°
And now back to your question, if the sum of interior angles is 1440°, so:
180×(n−2)=1440
n−2=1440 /180
n−2=8
n=10
Hence, number of side = 10.
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