SOLUTION: what are the measures of the two complementary angles if one angle measures 30 degrees less than the other?

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Question 579144: what are the measures of the two complementary angles if one angle measures 30 degrees less than the other?
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary angles sum to 90 degrees:


a = b-30
a+b=90
b-30+b = 90
2b = 120
b=60 degrees
a=30 degrees
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: b=60.
  • Graphical form: Equation b-30%2Bb=90 was fully solved.
  • Text form: b-30+b=90 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+b-30%2Bb=90+%29
    For tutors: simplify_cartoon( b-30+b=90 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at b-highlight_red%28+30+%29%2Bb=90.
Moved -30 to the right of expression
It becomes b%2Bb-highlight_green%28+30+%29=90.
Look at highlight_red%28+b+%29%2Bhighlight_red%28+b+%29-30=90.
Eliminated similar terms highlight_red%28+b+%29,highlight_red%28+b+%29 replacing them with highlight_green%28+%281%2B1%29%2Ab+%29
It becomes highlight_green%28+%281%2B1%29%2Ab+%29-30=90.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ab-30=90.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ab-30=90.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ab+%29-30=90.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ab-30=90.
Look at 2%2Ab-30=highlight_red%28+90+%29.
Moved these terms to the left highlight_green%28+-90+%29
It becomes 2%2Ab-30-highlight_green%28+90+%29=0.
Look at 2%2Ab-highlight_red%28+30+%29-highlight_red%28+90+%29=0.
Added fractions or integers together
It becomes 2%2Ab%2Bhighlight_green%28+-120+%29=0.
Look at 2%2Ab%2Bhighlight_red%28+-120+%29=0.
Removed extra sign in front of -120
It becomes 2%2Ab-highlight_green%28+120+%29=0.
Look at highlight_red%28+2%2Ab-120+%29=0.
Solved linear equation highlight_red%28+2%2Ab-120=0+%29 equivalent to 2*b-120 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: b=60.

Universal Simplifier and Solver


Done!