Question

find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent

Answer 1

Option (1)

Explanation:

By the property of alternate segment theorem,

"Angle formed between the tangent and the chord in a circle measures the half of the measure of the intercepted arc"

m(∠EFG) =
`(1)/(2)` × m(minor arc FG)

minor arc FG = 2m(∠EFG)

= 2(76°)

= 152°

Therefore, Option (1) will be the correct option.