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Line ET is a tangent to circle A at point T and the measure of ∠TNG is 25°
What is the measure of ∠NET?

A) 130°
B) 50°
C) 65°
D) 90°

Line ET is a tangent to circle A at point T and the measure of TNG is 25 What is the measure of NET A 130 B 50 C 65 D 90 class=

Respuesta :

sqdancefan

Answer:

C) 65°

Step-by-step explanation:

G ∈ NE, so ∠TNG = ∠TNE. ∠ATE = 90° because a radius (AT) is always perpendicular to a tangent line (ET) at the tangent point (T). A ∈ TN, so ΔTNG is a right triangle, and angles NET and TNE are complementary. Then ...

... ∠NET = 90° - ∠TNG

... = 90° - 25°

... ∠NET = 65°

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