SOLUTION: The ratio of two supplementary angles is 1:7. Find the measure of the smallest angle.

Question 153584: The ratio of two supplementary angles is 1:7. Find the measure of the smallest angle.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
As the ratio of the two angles is 1 : 7, we can use x and 7x to represent the two unknown angles.
As the two angles are supplementary, their sum is 180 degrees.
So x + 7x = 180
Solving for x, we have
8x = 180
x = 22.5
So one angle measures 22.5 degrees, another angle measures 7x = 7*22.5 = 157.5 degrees.

RELATED QUESTIONS
The ratio of the measure of two supplementary angles is 3:7. Find the measure of each... (answered by cleomenius)

The ratio of the measure of two supplementary angles is 3:7. Find the measure of each... (answered by rfer)

The ratio of two supplementary angles is 2:7.Whats the measure of the smaller... (answered by Theo)

the measures of two supplementary angles are in the ratio of 7:5. Which value is the... (answered by rfer)

the measures of two supplementary angles are in the ratio of 7:5. Which value is the... (answered by fractalier)

two supplementary angles are in the ratio 2:1.find the measure of each... (answered by josmiceli)

the ratio of two supplementary angles is 3:5. find the measure of each angle. (answered by rfer)

Two supplementary angles are in the ratio of 1:19, what is the measure of the... (answered by Jstrasner)

the measure of two supplementary angles are in the ratio 5:7. what is the measure of the... (answered by ankor@dixie-net.com)