Answer:
∠2=23°
Explanation:
Angle WXZ is equal to 96 degrees, and angles 1 and 2 sum up to that angle as they are adjacent. They are adjacent as they share a side and the center point. Angle 1 is 50° larger than angle 2, so we can represent angle 2 as x and angle 1 as x+50°. This means that x+x+50°=96° as angles 1 and 2 sum of to the angle WXZ.
Solving for x we get 2x+50=96°, 2x=46°, and x=23°. Since angle 2 is equal to x, we have our answer.
∠2=23°