SOLUTION: The larger of two supplementary angles exceeds seven times the smaller by four degrees. FInd the measure of the larger angle

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Question 158987: The larger of two supplementary angles exceeds seven times the smaller by four degrees. FInd the measure of the larger angle
Answer by nerdybill(7384) About Me  (Show Source):
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The larger of two supplementary angles exceeds seven times the smaller by four degrees. FInd the measure of the larger angle
.
The problem expects that you know the definition of "supplementary".
If two angles are supplementary, the sum of their angles equal 180.
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Let x = larger angle
then
180-x = supplement of larger angle
.
From:"The larger of two supplementary angles exceeds seven times the smaller by four degrees." we get our equation:
x = 7(180-x) + 4
x = 1260 - 7x + 4
x = 1264 - 7x
8x = 1264
x = 158 degrees