Question

Given the following: measure of arc A B equals measure of arc B C equals measure of arc C D.

In circle F, what is the measure of ∠ CED ?

A. 36
B. 18
C. 9
D. 72

Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.

What is the measure of ∠GET?

A. 55
B. 20
C.35
D.110

Answer 1

In circle F, what is the measure of ∠ CED ?
Given mAB = mBC = mCD = 36°

So
∠ CED = 1/2(mCD) = 1/2(36°) = 18°

Answer:
B. 18°
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What is the measure of ∠GET?

Given mTG = 70°
so
<TNE = 1/2(mTG) = 1/2(70°) = 35°

Right triangle NTG , < NTE = 90° and <TNE = 35°
so <TEN = 90° - 35° = 55°

<TEN = <GET = 55°

Answer
A. 55°