SOLUTION: The measure of angle 1 is 4 times the measure of its supplement. What is the measure, in degrees, of angle 1?

Algebra.Com
Question 991686: The measure of angle 1 is 4 times the measure of its supplement. What is the measure, in degrees, of angle 1?
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Two angles are supplementary when they add up to 180 degrees. Therefore, if the measure of angle 1 is 4 times the measure of its supplement:
Let's call angle 1 4x and its supplement x.
4x + x= 180
5x= 180
x= 180/5
x= 36 is the measure of the supplement.
Since angle 1 is 4 times the measure of its supplement:
36*4= 144 is the measurement of angle 1.

RELATED QUESTIONS

the measure of angle 1 is 4 times the measure of its supplement. what is the measure, in... (answered by stanbon)
An angle is 28 degrees greater in measure than its supplement. What is the degree... (answered by Fombitz)
1.what is the measure of an angle if the measure of its supplement is 39 degrees more... (answered by richwmiller)
an angle measure x degrees. what is the measure of its compliment? what is the measure of (answered by stanbon,solver91311)
The measure of an angle’s supplement is 30 degrees more than three times the measure of... (answered by nerdybill,math-vortex)
The measure of angle t is 35º greater than 4 times the measure of its... (answered by algebrahouse.com,Gogonati)
Find the measure of an angle whose supplement is 4 times the measure of its compliment (answered by ikleyn,Alan3354)
the measure of an angle is 20 degrees less than three times its supplement. find the... (answered by mananth)
The measure of the angle is 3 degrees more than 1/2 the measure of its supplement (answered by josgarithmetic)