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Find the measure of the indicated angle.

20°
161°
61°
73°
H
G
F
73 ° E
195 °

Find the measure of the indicated angle. 20° 161° 61° 73° H G F 73 ° E 195 °-example-1
User Prgbenz
by
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1 Answer

3 votes

Answer:

(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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User Sea Coast Of Tibet
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