Answer:
∠1 = 52
∠2 = 128
∠4 = 128
Step-by-step explanation:
∠3 and ∠1 are vertical angles
As we now vertical angles are congruent
So if ∠3 = 52°, then ∠1 also equals 52°
∠3 and ∠4 are supplementary angles
supplementary angles add up to equal 180
Thus, ∠3 + ∠4 = 180
If ∠3 = 52°
Then 52 + ∠4 = 180
180 - 52 = 128
Hence, ∠4 = 128
∠4 and ∠2 are vertical angles
Like stated previously vertical angles are congruent
So if ∠4 = 128 then ∠2 also equals 128
