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15 January, 01:20

If ABCD congruent to QRST, measure of angle A = x - 10º, and measure of angle Q = 2x - 30º, what is the measure of angle A?

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  1. 15 January, 01:24
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    Congruent means they are the same,

    A and Q are both the first letters, which mean they would also be the same.

    Set the two equations equal to each other, solve for x then solve for angle A.

    x-10 = 2x-30

    Add 30 to each side:

    x+20 = 2x

    Subtract 1x from each side:

    x = 20

    Now replace x with 20 in the equation for A

    A = 20-10

    Angle A = 10 degrees.
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