Question

What is the measure of arc CD?
A. 124
B. 62
C. 64
D. 60
Help plz!

Answer 1

Option D

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.