Question

What is the measure of AC? Enter your answer in the box. (4x - 5.5) (5x+25)

Answer 1

Answer:

The measure of arc AC is 85°

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

m∠ABC=(1/2)[arc AC]

substitute

(4x-5.5)°=(1/2)[5x+25]°

(8x-11)°=(5x+25)°

8x-5x=25+11

3x=36

x=12°

Find the measure of arc AC

arc AC=(5x+25)°

arc AC=5(12)+25=85°