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LiRa [457]
3 years ago
13

What is the measure of AC ? (First Picture)

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

Part 1) arc\ AC=33\°

Part 2) arc\ BC=130\°

Step-by-step explanation:

Part 1) What is the measure of AC ?

we know that

The inscribed angle is half that of the arc it comprises.

so

m

substitute the values and solve for x

2.5x+4=\frac{1}{2}(7x-2)

5x+8=(7x-2)

7x-5x=8+2

2x=10

x=5\°

Find the measure of arc AC

arc\ AC=7x-2=7(5)-2=33\°

Part 2) What is the measure of BC ?

we know that

The inscribed angle is half that of the arc it comprises.

so

m

substitute the values

65\°=\frac{1}{2}(arc\ BC)

2*65\°=(arc\ BC)

arc\ BC=130\°

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