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12 August, 19:15

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

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  1. 12 August, 19:27
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    The measure of arc AC is equal to 33°

    Step-by-step 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°
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