Answer:
![x = (367)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/r6v7kc0hwra3loct514t9y1lp8ruh4oafh.png)
![y = (173)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/61amamxzsnkvy4wgdb7fhkk8cebw1k13rn.png)
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:
![y = (173)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/61amamxzsnkvy4wgdb7fhkk8cebw1k13rn.png)
And:
![x = 7+ 2*(173)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/sjitgakrbl7jumnhjoubs47cb6549i9ew2.png)
![x = (367)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/r6v7kc0hwra3loct514t9y1lp8ruh4oafh.png)