Question

If line ET is tangent to circle A at T and the measure of ∠TNG =27° what is the measure of ∠NET?

A 63°
B 90°
C 100°
D 126°

Answer 1

∠NET = 63°

Explanation:

We are given a figure with a circle A and a line ET which is tangent to the circle at the point T. Also, the measure of the angle TNG is given to be 27° and we are to find the measure of angle NET.

If we recall the point of tangency, we will remember that the point where a tangent touches the radius of a circle is always a right angle.

That makes the angle NTE to be 90°.

Putting the sum of these angles equal to 180 to get:

90 + 27 + ∠NET = 180

∠NET = 180 - 90 - 27

∠NET = 63°