62.8k views
2 votes
Find the measure of the numbered angle.

Select one:

A. 115
B. 125
C. 120
D. 130

Find the measure of the numbered angle. Select one: A. 115 B. 125 C. 120 D. 130-example-1

1 Answer

4 votes

Answer:

Option B 125°

Explanation:

In this problem we need to calculate the measure of angle ∠6

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

see the attached figure to better understand the problem

∠6=(1/2)[arc AB+arc CD]

(arc AB+arc CD)=360°-(60°+50°)=250°

substitute

∠6=(1/2)[250°]=125°

Find the measure of the numbered angle. Select one: A. 115 B. 125 C. 120 D. 130-example-1
User Starfry
by
5.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.