SOLUTION: angle a and angle b are supplementary angles. find the measures of each angle if angle is 30 degrees greater than angle b.

Question 1018594: angle a and angle b are supplementary angles. find the measures of each angle if angle is 30 degrees greater than angle b.

Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
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angle A and angle B are supplementary angles. Find the measures of each angle if angle is 30 degrees greater than angle B.
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A = B + 30�,
A + B = 180�.

Substitute A from (1) into (2). You will get

B + 30 + B = 180  --->  2B + 30 = 180  ---> 2B = 180 - 30 = 150  --->  B =  = 75�.

Answer. B = 75�, A = B + 30� = 75� + 30� = 105�.

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