SOLUTION: Five times the measure of an angle less the complement of that angle equals 9. Find the measure of the angle.

Question 215691: Five times the measure of an angle less the complement of that angle equals 9. Find the measure of the angle.
Found 2 solutions by drj, checkley77:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Five times the measure of an angle less the complement of that angle equals 9. Find the measure of the angle.

Step 1. Angles are complementary when the two angles add to 90 degrees.

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

Step 3. Let 5x be five times the angle.

Step 4. Then 5x-(90-x)=9 since five times the measure of an angle less the complement of that angle equals 9

Step 5. The following will solve the equation in Step 4:

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

YOUR ANSWER

This is an equation! Solutions: x=16.5.

Graphical form: Equation was fully solved.
Text form: 5x-(90-x)=9 simplifies to 0=0
Cartoon (animation) form:
For tutors: simplify_cartoon( 5x-(90-x)=9 )

If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms ,
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Added fractions or integers together
It becomes .

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

Look at .
Solved linear equation equivalent to 6*x-99 =0
It becomes .
Result:
This is an equation! Solutions: x=16.5.

Universal Simplifier and Solver

Done!

With x=16.5 , then 90-x=73.5

Check 5x-90-x=5*16.5-73.5=9 which is a true statement.

Step 6. The angle is 16.5 degrees and its complement is 73.5 degrees.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
5x-(90-x)=9
5x-90+x=9
6x=9+90
6x=99
x=99/6
x=16.5 degrees.
Proof:
5*16.5-(90-16.5)=9
82.5-(90-16.5)=9
82.5-73.5=9
9=9
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