Question

What is the measure of AC

? Answer only the numerical value.

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Answer 1

The measurement of arc angle AC is (7x-2) degree. And measurement of angle ABC is (2.5x +4) degree.

And arc angle is twice of inscribed angle . So we will get

$7x-2 = 2(2.5x +4)$

Distributing 2 on 2.5x and 4, we will get

$7x-2 = 5x +8$

Adding 2 to both sides and subtracting 5x, we will get

$2x = 10$

Dividing both sides by 2,

$x = 5$

THerefore measurement of arc angle AC is

$7(5)-2 = 33 degree$