Question

What is the value of a? a.54 b.108 c.30 d.168

Answer 1

a.
`54^(\circ)`

Explanation:

We have been given an image of a circle and we are asked to find the value of a for our given circle.

We will use inscribed angle theorem of circle to solve our given problem, which states that measure of an inscribed angle is half the measure of its intercepted arc.

Using inscribed angle theorem we can set an equation as:

`a=(1)/(2)* 108^(\circ)`

`a=54^(\circ)`

Therefore, the value of a is 54 degrees and option 'a' is the correct choice.