Question

What is the measure of BD shown in the diagram below?

A. 36
B. 63
C. 33
D. 66

Answer 1

It’s A I hope this helped you out and have a good day

Answer 2

Remark
It is really hard to read Angle C. Originally I thought it was 50o but that is too big. I'm taking it as 30o. If that is wrong please leave a note and I will correct it.

Givens
Arc AE = 96
Angle C = 30o

Find
Arc BD

Formula
<C = 1/2 (arc AE - Arc BD)

Solve
30 = 1/2 (96 - x) Multiply both sides by 2
60 = 96 - x Subtract 96 from both sides.
60 - 96 = - x
-36 = - x Multiply both sides by - 1
36 = x

Answer
A