Question

2. Find measure of arc AB.
Find mAB

A) 68
B) 78
C) 88
D) 98

Answer 1

C) 88

Explanation:

so we are given a circle, and m<ACB is 44°. We need to find the measure of arc AB

<ACB is an inscribed angle (it is inside the circle), and it intercepts the arc AB

Inscribed angle theorem is a theorem that states the measure of an inscribed angle is half of the measure of the arc it intercepts

which also means that the measure of the intercepted arc is twice the measure of the inscribed angle (this is because of how algebra works)

which means mAB=2m<ACB (inscribed angle theorem)

mAB=2*44° (substitution)

mAB=88° (algebra)

therefore, your answer is C

Hope this helps!