Answer:

m∠1=118°
m∠2=62°
Step-by-step explanation:
Part A: They are supplementary angles, so

Simplify like terms,

We subtract 92,

Divide by 2,

Part B:
∠
because ∠2 is vertical to 2x+30.
Plug in 44 for x,
∠
Simplify,
∠
∠
° because it is a vertical angle to the 62° angle.
The equation we'll use for this is:Total Gifts = Veronica's Gifts (v) + Natalie's Gifts (n).
12 = v + n
The problem says Veronica got 3 times as many gifts as Natalie.
You can directly translate this into an equation!
v = 3 * n = 3n. This means we can replace any v with 3n.
So, 12 = v + n = 3n + n = 4n
12 = 4n
3 = n. Natalie got 3 gifts.
We can now plug back in for Veronica's gifts:
v = 3n
v = 3(3)
v = 9. Veronica got 9 gifts.
The third one down, I think!!!!