What is the measure of arc CD?
A. 124
B. 62
C. 64
D. 60
Help plz!
![What is the measure of arc CD A 124 B 62 C 64 D 60 Help plz class=](https://us-static.z-dn.net/files/dcd/1f9c1754d3811d82dbbf1b864cae4601.png)
Answer:
Option D
Step-by-step explanation:
By inscribed angle theorem,
" Measure of an inscribed angle by the arc measures half of the measure of the arc"
m(arc BCD) = 2m(∠BED)
And m(arc BCD) = m(arc BC) + m(arc CD)
m(arc BC) + m(arc CD) = 2m(∠BED)
64° + m(arc CD) = 2(62°)
m(arc CD) = 124 - 64
= 60°
Option D is the answer.