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
You can put this solution on YOUR website! the supplement of an angle is four more than twice its compliment
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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.
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Let x= the measure of the angle
then
90-x = complement
180-x = supplement
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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
