202,855 views
15 votes
15 votes
Circle P below

What is the arc measure of major arc ABC in degrees?

Circle P below What is the arc measure of major arc ABC in degrees?-example-1
User Latata
by
2.9k points

2 Answers

22 votes
22 votes

Answer: 283

Step-by-step explanation:Khan Academy

User Hyperman
by
3.0k points
26 votes
26 votes

Answer:

measure of arc ABC = 283°

Explanation:

First we have to find y

7y - 7 + 4y + 6 +20y - 11 = 360

31y - 12 = 360

31y = 372

y = 12

Since all the angles are central angles and intercepted arcs of those angles have the same measure,

the measure of arc ABC = 4y + 6 + 20y - 11

= 24y - 5

= 24(12) - 5

= 283

User Luiz Rodrigo
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.