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Math Help - Quadrilateral Inscribed in a Circle?

  1. #1
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    Quadrilateral Inscribed in a Circle?

    I need help with a word problem for a quadrilateral inscribed in a circle. It's as follows:

    Measure of angle D = 75, measure of minor arc AB = x^2, measure of minor arc BC = 5x, and the measure of minor arc CD = 6x. Find x and the measure of angle A.

    The answer is x=10 and m<A = 55. I just need the method used to come to that answer.


    Thanks in advance.
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  2. #2
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    Quote Originally Posted by dvh9 View Post
    Measure of angle D = 75, measure of minor arc AB = x^2, measure of minor arc BC = 5x, and the measure of minor arc CD = 6x. Find x and the measure of angle A.
    The answer is x=10 and m<A = 55. I just need the method used to come to that answer.
    The measure of an intercepted arc is twice the inscribed angle.
    So x^2+5x=150.
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