SOLUTION: 10. Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B.

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Question 225160: 10. Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B.
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B.

Step 1. Supplementary angles means two angles add up to 180 degrees.

Step 2. Let A be one angle.

Step 3. Let B=180-A be its supplementary angle.

Step 4. Let A=2+4(180-A) since angle A is 2 degrees more than 4 times angle B=180-A.

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


YOUR ANSWER


  • This is an equation! Solutions: A=144.4.
  • Graphical form: Equation A=2%2B4%2A%28180-A%29 was fully solved.
  • Text form: A=2+4*(180-A) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+A=2%2B4%2A%28180-A%29+%29
    For tutors: simplify_cartoon( A=2+4*(180-A) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at A=2%2B4%2A%28highlight_red%28+180+%29-A%29.
Moved 180 to the right of expression
It becomes A=2%2B4%2A%28-A%2Bhighlight_green%28+180+%29%29.
Look at A=highlight_red%28+2+%29%2B4%2A%28-A%2B180%29.
Moved 2 to the right of expression
It becomes A=4%2A%28-A%2B180%29%2Bhighlight_green%28+2+%29.
Look at A=highlight_red%28+4%2A%28-A%2B180%29%2B2+%29.
Moved these terms to the left highlight_green%28+-4%2A%28-A%2B180%29+%29,highlight_green%28+-2+%29
It becomes A-highlight_green%28+4%2A%28-A%2B180%29+%29-highlight_green%28+2+%29=0.
Look at A-highlight_red%28+4%2A%28-A%2B180%29+%29-2=0.
Expanded term -4 by using associative property on %28-A%2B180%29
It becomes A%2Bhighlight_green%28+4%2AA+%29-highlight_green%28+4%2A180+%29-2=0.
Look at A%2B4%2AA-highlight_red%28+4+%29%2Ahighlight_red%28+180+%29-2=0.
Multiplied numerator integers
It becomes A%2B4%2AA-highlight_green%28+720+%29-2=0.
Look at A%2B4%2AA-highlight_red%28+720+%29-highlight_red%28+2+%29=0.
Added fractions or integers together
It becomes A%2B4%2AA%2Bhighlight_green%28+-722+%29=0.
Look at A%2B4%2AA%2Bhighlight_red%28+-722+%29=0.
Removed extra sign in front of -722
It becomes A%2B4%2AA-highlight_green%28+722+%29=0.
Look at highlight_red%28+A+%29%2Bhighlight_red%28+4%2AA+%29-722=0.
Eliminated similar terms highlight_red%28+A+%29,highlight_red%28+4%2AA+%29 replacing them with highlight_green%28+%281%2B4%29%2AA+%29
It becomes highlight_green%28+%281%2B4%29%2AA+%29-722=0.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+4+%29%29%2AA-722=0.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2AA-722=0.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2AA+%29-722=0.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2AA-722=0.
Look at highlight_red%28+5%2AA-722+%29=0.
Solved linear equation highlight_red%28+5%2AA-722=0+%29 equivalent to 5*A-722 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: A=144.4.

Universal Simplifier and Solver


Done!



With A=144.4 then B=180-144.4=35.6 so check if equation in Step 4 is true... 144.4=2+4(35.6)...which it is.

Step 5. ANSWER: Angle A is 144.4 degrees and angle B is 35.6 degrees.

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV