∠1 and ∠2 are a linear pair, and ∠2 and ∠3 are vertical angles. m∠1=(3y+10)∘ and m∠3=(5y−30)∘ . what is m∠2 ? 25° 55° 85° 95°

∠1 and ∠2 are a linear pair
<1 + <2 = 180
3y+10 + 5y−30 = 180
8y - 20 = 180
8y = 200
y = 25

<2 = <3 = 5(25)−30 = 125 - 30 = 95

answer
95°

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.