Question 217499: The supplement of an angle is 4 more than twice its complement. Find the measure of the angle. Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! The supplement of an angle is 4 more than twice its complement. Find the measure of the angle.
Step 1. Supplementary angles means two adjacent angles add up to 180 degrees.
Step 2. Complementary angles means two adjacent angles add up to 90 degrees.
Step 3. Let x be the angle.
Step 4. Let 180-x be its supplementary angle.
Step 5. Let 90-x be its complementary angle.
Step 6. Let 2(90-x) be twice its complement
Step 7. Then, 180-x=4+2(90-x) since the supplement of an angle is 4 more than twice its complement.
Step 8. The following steps will solve the equatio in Step 7.
Add 2x-180 to both sides of the equation.
then and
Check if in Step 7 is true......which is a true statement.
Step 9. ANSWER: The angle is 4 degrees, its supplement is 176 degrees, and its complement is 86 degrees.
I hope the above steps and explanation were helpful.
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