SOLUTION: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle.

Algebra.Com
Question 227670: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Call the angles
and
given:
(1) degrees
(2)
---------------
Multiply both sides of (2) by

Substitute in (1)


Multiply both sides by



and, since



The smaller angle is 80 degrees


RELATED QUESTIONS

The measures of two supplementary angles are in the ratio of 4:5. Find the number of... (answered by drk)
The measures of two supplementary angles are in the ratio of 4:5. Find the number of... (answered by stanbon)
The measures of two supplementary angles are in the ratio of 4:5. Find the number of... (answered by solver91311)
two supplementary angles have degree measures in the ratio 5:4 find the degree measure... (answered by ewatrrr)
The measures of two supplementary angles are in the ratio 5:7. What is the measure of the (answered by solver91311)
The Measures of two supplementary angles are in The ratio 5:7 what is The measure of The... (answered by stanbon,jpvn2015)
two supplementary angles are in the ratio 5:;4 the number of degrees of the smaller agle... (answered by josgarithmetic,MathTherapy)
The measures of two supplementary angles are in the ratio 7:2. Find the measure of each... (answered by lynnlo)
One angle of a triangle measures 18 degrees. The other two angles are in the ratio of... (answered by rfer)