SOLUTION: find the measure of an angle if its measure is 3 degrees less than twice the measure of its complement.

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Question 215297: find the measure of an angle if its measure is 3 degrees less than twice the measure of its complement.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Find the measure of an angle if its measure is 3 degrees less than twice the measure of its complement.

Step 1. Complementary angles means that two angles add up to 90 degrees.

Step 2. Let x be the angle and 90-x be its complementary angle

Step 3. Let 2(90-x) be twice the complementary angle

Step 4. Since the angle x is 3 degrees less than twice the measure of its complement, then .

Step 5. Solving the equation in Step 4 yields the following steps.

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


YOUR ANSWER


  • This is an equation! Solutions: x=59.
  • Graphical form: Equation was fully solved.
  • Text form: x=2*(90-x)-3 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x=2*(90-x)-3 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 90 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-2%2A%28-x%2B90%29+%29,highlight_green%28+3+%29
It becomes .
Look at .
Expanded term -2 by using associative property on %28-x%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 -177
It becomes .
Look at .
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%281%2B2%29%2Ax+%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%2Ax-177=0+%29 equivalent to 3*x-177 =0
It becomes .
Result:
This is an equation! Solutions: x=59.

Universal Simplifier and Solver


Done!



Step 6. ANSWER: The angle is 59 degrees

I hope the above steps 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.

Good luck in your studies!

Respectfully,
Dr J
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