contestada

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°

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 class=

Respuesta :

calculista
we know that
The inscribed angle measures half of the arc it comprises.
so
∠CED=(1/2)*[arc CD]

arc AB=36°------> by central angle
then
arc  CD=36°
∠CED=(1/2)*[arc CD]---- ∠CED=(1/2)*[36°]------> ∠CED=18°

the answer is
∠CED=18°

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