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)   (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(10554)   (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)   (Show Source): You can put this solution on YOUR website!






let the software do the rest.
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=43. Since , x=137.

Answer: .



another method
let x be the smaller angle then 8+3x will be the large angle.

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


YOUR ANSWER


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

DETAILED EXPLANATION


Look at .
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 .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-180+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -172
It becomes .

Look at .
Solved linear equation highlight_red%28+4%2Ax-172=0+%29 equivalent to 4*x-172 =0
It becomes .
Result:
This is an equation! Solutions: x=43.

Universal Simplifier and Solver


Done!

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