SOLUTION: What is the measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of it's comlement ?

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Question 214086: What is the measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of it's comlement ?
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
What is the measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of its complement ?

Step 1. Supplementary angles is when two angles add up to 180 degrees and complementary angles is when two angles add up to 90 degrees.

Step 2. Let x be the angle, let 90-x be its complement and 180-x be its supplement.

Step 3. 2(180-x) twice the measure of its supplement.

Step 4. 5(90-x) five times the measure of its complement

Step 5. 2(180-x)=5(90-x)+30 Measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of its complement

Step 6. The following will solve the equation in Step 5.

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=40.
  • Graphical form: Equation was fully solved.
  • Text form: 2*(180-x)=5*(90-x)+30 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2*(180-x)=5*(90-x)+30 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 180 to the right of expression
It becomes .
Look at .
Moved 90 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-5%2A%28-x%2B90%29+%29,highlight_green%28+-30+%29
It becomes .
Look at .
Expanded term 2 by using associative property on %28-x%2B180%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 330 to the right of expression
It becomes .
Look at .
Expanded term -5 by using associative property on %28-x%2B90%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -120
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-2%2Ax+%29,highlight_red%28+5%2Ax+%29 replacing them with highlight_green%28+%28-2%2B5%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+3%2Ax-120=0+%29 equivalent to 3*x-120 =0
It becomes .
Result:
This is an equation! Solutions: x=40.

Universal Simplifier and Solver


Done!




Step 7. The complement of the angle x=40 is 90-x=50.

Step 8. ANSWER. The complement of the angle is 50 degree

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
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