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Question

The figure shows a regular pentagon and two regular hexagons put together. The measure of ABC is



Your Answer
A

10

Correct Answer
B

12

Your Answer
C

14

Your Answer
D

16


Solution

The correct option is D

12


For regular pentagon, n=5.

Each exterior angle =3605=72

=72

Now, e+i=360     (Linear pair)

72+i=180

i=108

For regular hexagon, n=6.

Each exterior angle =3606=60.

Now, e+i=180 (Linear pair)

60+i=180

i=120

Now, 120+108+120+ABC=360...(Angles around a point)

348+ABC=360

ABC=360348

=12

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