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°

asked Mar 22, 2022 31.2k views

25 votes

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°

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10 votes

Answer:

$m\angle GET = 67\degree$

Explanation:

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

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

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

$m\angle GET = 67\degree$

Napas answered Mar 26, 2022

by Napas

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