SOLUTION: Angles are supplementary. The measure of angle s is 7 degrees less than one-fourth of the measurement of r. What is the degree measure of angle r?

Question 920269: Angles are supplementary. The measure of angle s is 7 degrees less than one-fourth of the measurement of r. What is the degree measure of angle r?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Angles are supplementary.
s + r = 180
s = (180-r)
The measure of angle s is 7 degrees less than one-fourth of the measurement of r.
s = r - 7
Replace s, write 1/4 as a decimal
180 - r = .25r - 7
180 + 7 = .25r + r
187 = 1.25r
r = 187/1.25
r = 149.6 degrees
:
:
Check this
s = 180 - 149.6 = 30.4 degrees
see if this is true
"The measure of angle s is 7 degrees less than one-fourth of the measurement of r."
30.4 = .25(149.6) - 7
30.4 = 37.4 - 7

RELATED QUESTIONS
two angles are supplementary. one angle is 3 degrees less than twice the other. Find the... (answered by rfer)

2 angles are supplementary. the measure of one angle is 16 degrees less than 3 times the (answered by checkley77)

Two angles are supplementary. One angle measures 12 degrees more than the other. What is... (answered by rfer,drj)

If two angles are supplementary and one of them is 30 degrees, what is the measurement of (answered by Fombitz)

two angles are supplementary. one angle is 42 degrees less then the other one. find the... (answered by edjones)

Two angles are supplementary. The measure of one angle is 20 degrees less than 19 times... (answered by rfer)

I need help with this question The measure of angle r is 12 degrees more than three... (answered by Seutip)

Angle 1 and 2 is supplementary.. The measure of angle one is 15 less than twice the... (answered by Fombitz)

2 angles are supplementary one angles is 3 degrees less than twice the other. find the... (answered by rfer)