Question

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°

Answer 1

C) 65°

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°