Question

Find the value of x. Then find the measure of Arc AN. Show work on a piece of paper.

a) Value of x =

b) Arc AN =

Answer 1

a. x = 36

b. ∠(AN) = 144°

Explanation:

All the angle in the circle should add up to 360°.

x + x + 4x + 4x = 360

2x + 8x = 360

10x = 360

x = 36

∠(AN) = 4x

∠(AN) = 4(36)

∠(AN) = 144°