SOLUTION: The measure of the angle is 20° greater than its complement what is the measure of the complement?

Algebra ->  Angles -> SOLUTION: The measure of the angle is 20° greater than its complement what is the measure of the complement?      Log On


   

Question 1182859: The measure of the angle is 20° greater than its complement what is the measure of the complement?
Found 3 solutions by ikleyn, greenestamps, MathTherapy:
Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let the angle be x degrees;  

then the complement angle is 90-x degrees,


and your equation to find x is


    x - (90-x) = 20  degrees.


Simplify and find x


    2x - 90 = 20

    2x      = 20 + 90 = 110

     x                = 110/2 = 55  degrees.    ANSWER

Solved and explained.

--------------------

To learn about complementary angles and to see many similar solved problems,  read the lessons
    - Angles basics
    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples
in this site.


Consider these lessons as your handbook,  textbook,  guide,  tutorials and  (free of charge)  home teacher.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The angle measure is 20 degrees more than the complement. So let the complement be x; then the measure of the angle is x+20.

Since the angles are complementary, the sum of their measures is 90 degrees.

x%2B%28x%2B20%29=90
2x%2B20=90
2x=70
x=35

ANSWER: The measure of the complement is x=35 degrees.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

The measure of the angle is 20° greater than its complement what is the measure of the complement?
Let angle's complement be C

Then angle is: 90 - C

With the angle being 20° greater than the complement, we get: 90 - C = C + 20

- C - C = 20 - 90

- 2C = - 70

Angle's complement, or