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) About Me  (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 x%2B2x%2B9=90 was fully solved.
  • Text form: x+2x+9=90 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B2x%2B9=90+%29
    For tutors: simplify_cartoon( x+2x+9=90 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2B9=90.
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 highlight_green%28+%281%2B2%29%2Ax+%29%2B9=90.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B9=90.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax%2B9=90.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29%2B9=90.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax%2B9=90.
Look at 3%2Ax%2B9=highlight_red%28+90+%29.
Moved these terms to the left highlight_green%28+-90+%29
It becomes 3%2Ax%2B9-highlight_green%28+90+%29=0.
Look at 3%2Ax%2Bhighlight_red%28+9+%29-highlight_red%28+90+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-81+%29=0.
Look at 3%2Ax%2Bhighlight_red%28+-81+%29=0.
Removed extra sign in front of -81
It becomes 3%2Ax-highlight_green%28+81+%29=0.
Look at highlight_red%28+3%2Ax-81+%29=0.
Solved linear equation highlight_red%28+3%2Ax-81=0+%29 equivalent to 3*x-81 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
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