Answer: ∠1= 75°, ∠2= 105°, ∠3=105°, ∠4=75°, ∠6=105°, ∠7= 105°, ∠8=75°
Explanation:
∠1 is corresponding to angle 75° which make them equal.
∠2 is supplementary to ∠1 which means they add up to 180°. Since ∠1 is 75° you would subtract 75° from 180° to get 105°.
∠3 is vertical to ∠2 which makes them equal.
∠4 is vertical to ∠1 which makes them equal.
∠6 is corresponding to ∠2 which makes them equal.
∠7 is vertical to ∠6 which makes them equal.
∠8 is vertical to 75° which makes them equal.