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19 July, 17:23

Two parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x + 5) ° and the other measures (7x - 4) °. Explain how to determine what those angles actually measure?

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  1. 19 July, 17:25
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    Alternate exterior angles, when parallel lines are cut by a transversal, are congruent. Therefore, the angles are equal ... so set them equal.

    6x + 5 = 7x - 4 ... now we solve for x

    6x - 7x = - 4 - 5

    -x = - 9

    x = 9

    one angle (6x + 5) = 6 (9) + 5 = 54 + 5 = 59 degrees

    other angle (7x - 4) = 7 (9) - 4 = 63 - 4 = 59 degrees

    as u can see, they are both congruent and they each measure 59 degrees
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