Question

Find the measure of the indicated angle.

20°
161°
61°
73°
H
G
F
73 ° E
195 °

Answer 1

(c) 61°

Explanation:

You want the measure of the external angle formed by a tangent and secant that intercept arcs of 73° and 195° of a circle.

External angle

The measure of the angle at F is half the difference of intercepted arcs HE and EG.

(195° -73°)/2 = 122°/2 = 61°

The measure of angle F is 61°.

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