SOLUTION: 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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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) About Me  (Show Source):
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angle A and angle B are supplementary angles. Find the measures of each angle if angle highlight%28A%29 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 = 150%2F2 = 75°.

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