In the figure, what is the value of a?

In the figure, what is the value of a?

A 30

B 45

C 60

D 72

Solution

Correct Answer: Option D

From the figure, we see that,

6c + a + b = 180 [Eq. 01]

a = 2b

and, 3c = b

or, 6c = 2b

Thus,

Replacing the other values by the means of b in Eq. 01, we get,

2b + 2b + b = 180

or, 5b = 180

or, b = 36

Again,

6c + a + b = 180

or, 2b + a + b = 180

or, 3b + a =180

or, 3 * 36 + a = 180

or, 108 + a =180

or, a = 180 - 108

or, a = 72