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What is the measure of AC

? Answer only the numerical value.

Please contact your teacher if you do not see the image.

What is the measure of AC Answer only the numerical value Please contact your teacher if you do not see the image class=

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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

[tex]7x-2 = 2(2.5x +4)[/tex]

Distributing 2 on 2.5x and 4, we will get

[tex]7x-2 = 5x +8[/tex]

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

[tex]2x = 10[/tex]

Dividing both sides by 2,

[tex]x = 5[/tex]

THerefore measurement of arc angle AC is

[tex]7(5)-2 = 33 degree[/tex]

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