64.2k views
2 votes
Find the measure of the indicated angle

Find the measure of the indicated angle-example-1
User Brovoker
by
8.1k points

2 Answers

2 votes
Yes the answer is 115
User JojOatXGME
by
7.3k points
0 votes

Answer: 115

Step-by-step explanation:

Arcs GQ and QE are given as 74 and 56 respectively.

They add to 74+56 = 130 degrees.

The remaining portion of the circle is 360-130 = 230 degrees. This is the measure of arc GFE.

Divide this in half to get 230/2 = 115 which is the measure of inscribed angle GQE.

For more information, search out "inscribed angle theorem".

User Brouxhaha
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.