SOLUTION: the supplement of an angle is four more than twice its compliment
Find the measure of the angle.
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Question 213315This question is from textbook Geometry
: the supplement of an angle is four more than twice its compliment
Find the measure of the angle.
This question is from textbook Geometry
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the supplement of an angle is four more than twice its compliment
.
Remember:
- If two angles are supplementary, the sum of the two angles is 180 degrees.
- If two angles are complementary, the sum of the two angles is 90 degrees.
.
Let x= the measure of the angle
then
90-x = complement
180-x = supplement
.
From:"the supplement of an angle is four more than twice its compliment" we get our equation:
180-x = 2(90-x) + 4
180-x = 180 - 2x + 4
-x = -2x + 4
x = 4 degrees
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