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Question 1183528: The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle. Find the measure of the complement.
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
The supplement of an angle is 60 degrees less than twice the supplement of the complement of the angle.
Find the measure of the complement.
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Let x be the angle (which is called "an angle" in the problem's description).
Then the supplement is (180-x) degrees,
and the complement is (90-x) degrees, while the supplement of the complement of the angle is (180 - (90-x)) = 90+x degrees.
Next, write the equation as you read the text
180-x = 2*(90+x) - 60.
Simplify and find x
180-x = 180 + 2x - 60
-x = 2x - 60
60 = 2x + x
60 = 3x
x = 60/3 = 20.
Thus the angle is 20 degrees, and its complement (which is under the problem's question) is 90-20 = 70 degrees. ANSWER
Solved and explained.
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To see many other similar (and different) solved problems on supplementary and complementary angles, look into the lessons
- Angles basics
- Vertical angles
- HOW TO solve problems on supplementary, complementary or vertical angles - Examples
- Solved problems on supplementary and complementary angles
in this site.
Consider these lessons as your handbook, textbook, guide, tutorials and (free of charge) home teacher.
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