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11 votes
11 votes
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!-example-1
User Brett Rigby
by
3.1k points

1 Answer

23 votes
23 votes

Answer:

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.

User Clockwatcher
by
2.7k points