If m<AHM = 3x+5 and m<TMH = 7x-27, find m<AHM

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For figure required for problem.

Just looking at the figure, angles AHM and TMH are congruent, so

3x+5 = 7x-27
x = 8

So, m<AHM = 29

If you answered #15, #17 should have been obvious.