SOLUTION: Two angles are supplementary! The larger angle is 8 degrees more than 3 times the measure of the small angle! What are the 2 angles?

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Question 1050799: Two angles are supplementary! The larger angle is 8 degrees more than 3 times the measure of the small angle! What are the 2 angles?
Found 3 solutions by rfer, MathTherapy, advanced_Learner:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+3x+8=180
4x=180-8
x=172/8
x=21.5 degrees
3x+8=72.5 degrees

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Two angles are supplementary! The larger angle is 8 degrees more than 3 times the measure of the small angle! What are the 2 angles?

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=180
x=8%2B3y


x%2By=180
x-3y=8
let the software do the rest.
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+180%2C%0D%0A++++1%5Cx+%2B+-3%5Cy+=+8+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+180+-+1%2Ay, or x+=+180%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
1%2A%28180%2F1+-+1%2Ay%2F1%29+%2B+-3%5Cy+=+8 and simplify: So, we know that y=43. Since x+=+180%2F1+-+1%2Ay%2F1, x=137.

Answer: system%28+x=137%2C+y=43+%29.



another method
let x be the smaller angle then 8+3x will be the large angle.
x%2B3x%2B8=180
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=43.
  • Graphical form: Equation x%2B3x%2B8=180 was fully solved.
  • Text form: x+3x+8=180 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2B3x%2B8=180+%29
    For tutors: simplify_cartoon( x+3x+8=180 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax+%29%2B8=180.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+3%2Ax+%29 replacing them with highlight_green%28+%281%2B3%29%2Ax+%29
It becomes highlight_green%28+%281%2B3%29%2Ax+%29%2B8=180.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+3+%29%29%2Ax%2B8=180.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax%2B8=180.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B8=180.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax%2B8=180.
Look at 4%2Ax%2B8=highlight_red%28+180+%29.
Moved these terms to the left highlight_green%28+-180+%29
It becomes 4%2Ax%2B8-highlight_green%28+180+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+8+%29-highlight_red%28+180+%29=0.
Added fractions or integers together
It becomes 4%2Ax%2Bhighlight_green%28+-172+%29=0.
Look at 4%2Ax%2Bhighlight_red%28+-172+%29=0.
Removed extra sign in front of -172
It becomes 4%2Ax-highlight_green%28+172+%29=0.
Look at highlight_red%28+4%2Ax-172+%29=0.
Solved linear equation highlight_red%28+4%2Ax-172=0+%29 equivalent to 4*x-172 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=43.

Universal Simplifier and Solver


Done!