2001
Mathematics
67ca00ce0c643c71d77dee1f
Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.
A.
6
B.
2
C.
3
D.
8
Correct Answer: 6
Explanation
Let the ext. angle = x Thus int. angle = 2x But sum of int + ext = 180 (angle of a straight line). 2x + x = 180 3x = 180 x = 180/3 = 60 Each ext angle = 360/n => 60 = 360/n n = 360/60 = 6
Let the ext. angle = x Thus int. angle = 2x But sum of int + ext = 180 (angle of a straight line). 2x + x = 180 3x = 180 x = 180/3 = 60 Each ext angle = 360/n => 60 = 360/n n = 360/60 = 6THIS WEEK's
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