Question

Given: EF is a diameter of the circle Find m∠EGF.

Answer 1

m∠EGF = 90°.

Since EF is a diameter, this means that arc EF is half of the circle, or 180°. The measure of an inscribed angle, EGF, is half of that of the intercepted arc, 180:

EGF = 1/2(180) = 90°

Answer 2

∠EGF=
`90^(\circ)`

Explanation:

It is given that EF is the diameter of the circle, we know that if EF is the diameter, then this means that arc EF is half of the circle.

Also, we know that The measure of an inscribed angle is half of that of the intercepted arc(180°) , therefore an inscribed angle of the given circle that is ∠EGF will be half of an intercepted arc, thus

∠EGF=
`(1)/(2){*}180^(\circ)`

∠EGF=
`90^(\circ)`

Therefore, ∠EGF will be right angled.