SOLUTION: The larger of two supplementary angles exceeds 7 times the smaller by 4 degrees. Find the measure of the larger angle. Please give me an explanation.

Question 1048103: The larger of two supplementary angles exceeds 7 times the smaller by 4 degrees. Find the measure of the larger angle.
Please give me an explanation.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Supplementary angles add up to 180 degrees.
Let the larger angle be y and the smaller be x
y = 7x+4
And we know that
y+x = 180 Substitute for y
7x+4+x = 180
8x = 176
x = 22 The smaller angle is 22 degrees, and the bigger angle:
7*(22)+4 = 158
>>>>>>>>>>>>>>>>>>
Since they are supplementary, they MUST add up to 180:
22+158 = 180
:
Happy learning,
John

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