SOLUTION: Two angles are complementary. The larger of the two is 9 degrees more than twice the smaller. Find the 2 angles.

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Question 213731: Two angles are complementary. The larger of the two is 9 degrees more than twice the smaller. Find the 2 angles.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Two angles are complementary. The larger of the two is 9 degrees more than twice the smaller. Find the 2 angles.

Step 1. Complementary angles is when 2 angles add up to 90 degrees.

Step 2. x is one angle and 2x+9

Step 3. Then x+2x+9=90

Step 4. Solve the above equation using the following steps

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


YOUR ANSWER


  • This is an equation! Solutions: x=27.
  • Graphical form: Equation was fully solved.
  • Text form: x+2x+9=90 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x+2x+9=90 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B2%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 .
Moved these terms to the left highlight_green%28+-90+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -81
It becomes .
Look at .
Solved linear equation highlight_red%28+3%2Ax-81=0+%29 equivalent to 3*x-81 =0
It becomes .
Result:
This is an equation! Solutions: x=27.

Universal Simplifier and Solver


Done!




Step 5. ANSWER: The angles are x=27 degrees and 2x+9=2(27)+9=63 degrees

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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