SOLUTION: Two angles are complementary if their sum is 90 degrees. If two complementary angles have the measures of x degrees and (2x - 3) degrees, find the measure of each angle.

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Question 223720: Two angles are complementary if their sum is 90 degrees. If two complementary angles have the measures of x degrees and (2x - 3) degrees, find the measure of each angle.



Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary if their sum is 90 degrees. If two complementary angles have the measures of x degrees and (2x - 3) degrees, find the measure of each angle.

Then, x+2x-3=90

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


YOUR ANSWER


  • This is an equation! Solutions: x=31.
  • Graphical form: Equation x%2B2x-3=90 was fully solved.
  • Text form: x+2x-3=90 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B2x-3=90+%29
    For tutors: simplify_cartoon( x+2x-3=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+%29-3=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+%29-3=90.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Ax-3=90.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax-3=90.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-3=90.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax-3=90.
Look at 3%2Ax-3=highlight_red%28+90+%29.
Moved these terms to the left highlight_green%28+-90+%29
It becomes 3%2Ax-3-highlight_green%28+90+%29=0.
Look at 3%2Ax-highlight_red%28+3+%29-highlight_red%28+90+%29=0.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+-93+%29=0.
Look at 3%2Ax%2Bhighlight_red%28+-93+%29=0.
Removed extra sign in front of -93
It becomes 3%2Ax-highlight_green%28+93+%29=0.
Look at highlight_red%28+3%2Ax-93+%29=0.
Solved linear equation highlight_red%28+3%2Ax-93=0+%29 equivalent to 3*x-93 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=31.

Universal Simplifier and Solver


Done!



With x=31 then, 2x-3=59

ANSWER: The complementary angles are 31 degrees and 59 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