SOLUTION: In Parallelogram MAST , the measure of angle M is 30 more than the measure of angle A . Determine the measures of all four angles of parallelogram MAST

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Question 1059353: In Parallelogram MAST , the measure of angle M is 30 more than the measure of angle A . Determine the measures of all four angles of parallelogram MAST
Answer by ikleyn(52788) About Me  (Show Source):
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M = A + 30,
M + A = 180.


substitute:  (A+30) + A = 180  ===>  2A + 30 = 180  ===>  2A = 180 - 30  ===>  2A = 150  ===>  A = 75.


The angles are M = 105, A = 75, S = 105,  and T = 75  degrees.

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