SOLUTION: what is the measure of the larger angle of two supplementary angles if 2/5 of the larger angle is 6 less than the smaller angle

Question 326755: what is the measure of the larger angle of two supplementary angles if 2/5 of the larger angle is 6 less than the smaller angle
Found 2 solutions by rfer, solver91311:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
x+.4x=180-6
1.4x=174
x=124.3 degrees
.4x+6=55.7 degrees
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the measure of the larger of the two angles. Since the two angles are supplementary so the sum of their measures is , must represent the measure of the smaller angle.

of the larger is 6 less than the smaller:

John

RELATED QUESTIONS
what is the measure of the larger angle of two supplementary angles if two-fifths of the... (answered by nerdybill)
What is the measure of the larger angle of two supplementary angles if two-fifths of the... (answered by mananth)
What is the measure of the larger angle of two supplementary angles if two fifths of the... (answered by MathLover1)
two angles are supplementary . if the measure of the larger angle is 20 degrees less... (answered by checkley79)
The smaller of two supplementary angles is 30 degrees less than the measure of the larger (answered by Fombitz)
two angles are supplementary. the measure of the larger angle is 30 less than six times... (answered by stanbon)
Two angles are supplementary. One angle has a measure that is five less than four times... (answered by nerdybill)
Two angles are supplementary. One angle has a measure that is five less than four times... (answered by Fombitz)
Two angles are supplementary. One angle has a measure that is five less than four times... (answered by rfer)