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)   (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
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  • This is an equation! Solutions: b=60.
  • Graphical form: Equation was fully solved.
  • Text form: b-30+b=90 simplifies to 0=0
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DETAILED EXPLANATION

Look at .
Moved -30 to the right of expression
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%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 -120
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2Ab-120=0+%29 equivalent to 2*b-120 =0
It becomes .
Result:
This is an equation! Solutions: b=60.

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