# SOLUTION: Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle? (Hint: Let 180 – x represent t

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Question 216674: Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle?
(Hint: Let 180 – x represent the supplement and 90 – x represent the complement.)

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Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle?
(Hint: Let 180 – x represent the supplement and 90 – x represent the complement.)

Step 1. Supplementary angles means two angles add up to 180 degrees.

Step 2. Complementary angles means two angles add up to 90 degrees.

Step 3. Let x be the angle.

Step 4. Let 180-x be the supplement

Step 5. Let 90-x be the complement.

Step 6. Let 5*(90-x) be five times the complement and let 2(180-x) be twice the supplement.

Step 7. Then, 2(180-x) = 5(90-x) - 39 since twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle?

Step 8. The following steps will solve the equation in Step 7.

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: x=17. Graphical form: Equation was fully solved.Text form: 2*(180-x)=5*(90-x)-39 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 2*(180-x)=5*(90-x)-39 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

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Result:
This is an equation! Solutions: x=17.

### Universal Simplifier and Solver

Done!

With x=17, then 180-x=163 and 90-x=73.

Check...2(180-x) = 5(90-x) - 39...2*163=5*73-39...which is a true statement.

Step 9. ANSWER: The angle is 17 degrees, its supplement is 163 degrees and its complement is 73 degrees.

I hope the above steps were helpful.