Question

Line ET is tangent to circle A at T, and the measure of arc TG is 46°.

What is the measure of ∠GET?

A: 44°
B: 136°
C: 67°
D: 90°

Answer 1

`m\angle GET = 67\degree`

Explanation:

`m\angle GET = (1)/(2) * \bigg(m\widehat {TN} - m\widehat {TG} \bigg)`

`m\angle GET = (1)/(2) * \bigg(180\degree - 46\degree \bigg)`

`m\angle GET = (1)/(2) * \bigg(134\degree \bigg)`

`m\angle GET = 67\degree`