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Question

AB, BC and CD are three consecutive sides of a regular polygon. If BAC = 20, Find its each interior angle

A
120
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B
110
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C
140
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D
none of the above
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Solution

The correct options are
A 120
C 140
AB, BC and CD are three consecutive sides of a regular polygon and BAC=20o,
In BAC,AB=BC,
Therefore, BCA=BAC=20o (Isosceles Triangle)
Now,
BCA+BAC+ABC=180o
20o+20o+ABC=180o
ABC=140o
Each interior angle = 140o

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