SOLUTION: The supplementary angle is 30 more than 4 times of a complementary angle. What is the complementary angle measure?

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Question 549460: The supplementary angle is 30 more than 4 times of a complementary angle. What is the complementary angle measure?
Answer by TutorDelphia(193)   (Show Source): You can put this solution on YOUR website!
Supplementary is when two angles add up to be 180 degrees (and form a straight line)
Complementary is when they add up to 90 degrees
So if our angle is y
we know that 180-y=30+4*(90-y)
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YOUR ANSWER


  • This is an equation! Solutions: y=70.
  • Graphical form: Equation was fully solved.
  • Text form: 180-y=30+4*(90-y) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 180-y=30+4*(90-y) )
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DETAILED EXPLANATION

Look at .
Moved 180 to the right of expression
It becomes .
Look at .
Moved 90 to the right of expression
It becomes .
Look at .
Moved 30 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-4%2A%28-y%2B90%29+%29,highlight_green%28+-30+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 150 to the right of expression
It becomes .
Look at .
Expanded term -4 by using associative property on %28-y%2B90%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -210
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-y+%29,highlight_red%28+4%2Ay+%29 replacing them with highlight_green%28+%28-1%2B4%29%2Ay+%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 .
Solved linear equation highlight_red%28+3%2Ay-210=0+%29 equivalent to 3*y-210 =0
It becomes .
Result:
This is an equation! Solutions: y=70.

Universal Simplifier and Solver


Done!

So we find y=70
but we are asked for the complementary angle so that would be 90-y or 20 degrees
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