Answer:
The measures of both angles are 136 degrees and 44 degrees
Step-by-step explanation:
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
Let
x ----> the measure of the larger angle
y ---> the measure of the smaller angle
we have that
[tex]x+y=180[/tex] ----> equation A
[tex]x=3y+4[/tex] ----> equation B
Solve the system by substitution
substitute equation B in equation A
[tex]3y+4+y=180[/tex]
solve for y
[tex]4y+4=180\\4y=176\\y=44^o[/tex]
Find the value of x
[tex]x=3(44)+4=136^o[/tex]
