Answer:
The measures of the angles are 50° and 130°
Step-by-step explanation:
Let
x ----> the measure of one angle
y ----> the measure of the other angle
we know that
If two angles form a linear pair , then their sum is equal to 180 degrees
[tex]x+y=180[/tex] -----> equation A
[tex]x=2.6y[/tex] ----> equation B
substitute equation B in equation A
[tex]2.6y+y=180[/tex]
solve for y
[tex]3.6y=180[/tex]
[tex]y=50^o[/tex]
Find the value of x
[tex]x=2.6(50)=130^o[/tex]
The measures of the angles are 50° and 130°
