Question

∠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°

Answer 1

D) 95°
y = 25
5(25) - 30 = 95°

Answer 2

∠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°