Question

What is the measure of arc AC? Enter your answer in the box. AC is (7x-2) degrees. ABC is inscribed with (2.5x + 4) degrees

Answer 1

The measure of arc AC is equal to 33°

Explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

∠ABC=(1/2) arc AC

substitute the values

(2.5x+4)=(1/2)(7x-2)

solve for x

5x+8=7x-2

7x-5x=8+2

2x=10

x=5

Find the measure of arc AC

arc AC=(7(5)-2)=33°