Geometry

Line AB is perpendicular to line BC. Point E is in the interior of angle ABC. If angle ABE = 2x+3 and angle EBC = 4x-9, find x. Then find the measure of both angles.

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  1. Their sum must equal 90°

    2x+3 + 4x-9 = 90
    6x = 96
    x = 16

    one angle is 2(16)+3 or 35°
    the other is 4(16)-9 or 55°

    (notice 35+55=90)

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