SOLUTION: Please help me solve this equation: If the measure of one of two supplementary angles is 20 degrees more than 7 times the measure of the other, what are the measures of the angles?

Algebra ->  Conversion and Units of Measurement -> SOLUTION: Please help me solve this equation: If the measure of one of two supplementary angles is 20 degrees more than 7 times the measure of the other, what are the measures of the angles?      Log On


   



Question 802412: Please help me solve this equation: If the measure of one of two supplementary angles is 20 degrees more than 7 times the measure of the other, what are the measures of the angles?
Found 4 solutions by CubeyThePenguin, MathTherapy, josgarithmetic, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
supplementary: x and 90-x

x = 7(90-x) + 20
x = 630 - 7x + 20
8x = 650

x = 81.25 degrees, 90 - x = 8.75 degrees

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me solve this equation: If the measure of one of two supplementary angles is 20 degrees more than 7 times the measure of the other, what are the measures of the angles?
He/She is WRONG!
Supplementary angles DO NOT sum to 90o.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-------------------------------------------------
measure of one of two supplementary angles is 20 degrees more than 7 times the measure of the other,
---------------------------------------------------

x, the other angle measure
7x+20, the one of two angle measures


x%2B%287x%2B20%29=180
-
8x%2B20=180
8x=160
x=20

Does this work?
20%2B%287%2A20%2B20%29
20%2B140%2B20
140%2B20%2B20
180okay

20 degrees and 160 degrees

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

To learn about supplementary angles,  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.