Answer:
1) 115
2) 83
3) 45
4) 137
Step-by-step explanation:
Each problem is asking you to find the missing angle given its vertical angle.
Vertical angles are congruent therefore the angle given is the answer
Just in case that doesn't make sense here you go:
For #1 ∠1 and ∠2 are vertical angles
vertical angles are congruent ( equal to each other ) so if
∠1 = 115° then ∠2 = 115°
For#2 ∠5 and ∠6 are also vertical angles so they are congruent
so if ∠5 = 83° then ∠6 = 83°
For #3 ∠8 and ∠9 are vertical angles so they are congruent
so if ∠8 = 45° then ∠9 = 45°
For #4 ∠3 and ∠4 are vertical angles so they are congruent
So if ∠3 = 137° then ∠4 = 137°