Answer: It is m<U = 60 and m<V = 120 (x = 20)
Step-by-step explanation:
1. We know that these 2 angles are supplementary, which means both adds up to 180 degrees.
2. So first, we do this:
3x + 2(m<U) = 180
2a. We do this to find m<U
3. We can also notice that 3x is m<U, so substituting m<U with 3x makes sense. 3x + 2(3x) = 180
4. We then simplify:
3x + 6x = 180
9x = 180
5. We will then divide:
x = 20
6. With the new found info, we substitute x with 20:
m<U = 3(20)
m<V = 2(3(20))
7. Doing the math, it becomes:
m<U = 60
m<V = 120
(i) You can add both up if you want to make sure, but it is correct
