Question 1018594
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angle A and angle B are supplementary angles. Find the measures of each angle if angle {{{highlight(A)}}} 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 = {{{150/2}}} = 75°.

<U>Answer</U>. B = 75°, A = B + 30° = 75° + 30° = 105°.
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