Rays AB and BC are perpendicular. Point D lies in the interior of angle ABC. If m angle ABD = 3r+5 and m angle DBC= 5r-27, find m angle ABD ana m angle DBC.

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  1. ABD+DBC = ABC so
    3r+5 + 5r-27 = 90
    r = 14
    Now finish it off

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