SOLUTION: The measure of the supplement of an angle is 60 more than twice the measure of an angle. Find the measure of the larger angle.
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Question 230283: The measure of the supplement of an angle is 60 more than twice the measure of an angle. Find the measure of the larger angle. Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! The measure of the supplement of an angle is 60 more than twice the measure of an angle. Find the measure of the larger angle.
Step 1. Supplementary angles means two angles add up to 180 degrees.
Step 2. Let x be the angle.
Step 3. Let 2x be twice the angle
Step 4. Let 180-x be the supplementary angle.
Step 5. Then 180-x=2x+60 since the supplement of an angle is 60 more than twice the measure of an angle.
Step 6. Solving 180-x=2x+60 yields the following steps
Add x to both sides of the equation
Subtract 60 from both sides of the equation
Divide by 3 to both sides of the equation
and
Check equation if true...140=2*40+60=140 which is a true statement.
Step 7. The larger angle is 140 degrees.
I hope the above steps were helpful.
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