Answer:
[tex]x = \frac{367}{3}[/tex]
[tex]y = \frac{173}{3}[/tex]
Step-by-step explanation:
Equations
Let's call
x = measure of angle 1
y = measure of angle 2
The angles are supplementary, thus their sum is 180°:
x + y = 180 [1]
It's also known that one angle (x) is 7° more than twice the other (y), thus:
x = 7+ 2y [2]
Substituting [2} in [1]:
7+ 2y + y = 180
Operating:
7+ 3y = 180
Subtracting 7:
3y = 180 - 7 = 173
Dividing by 3:
[tex]y = \frac{173}{3}[/tex]
And:
[tex]x = 7+ 2*\frac{173}{3}[/tex]
[tex]x = \frac{367}{3}[/tex]
