Find each of the eight angles formed at the intersection of two parallel straight lines

Find each of the eight angles formed at the intersection of two parallel straight lines of the third straight line, if one of the inner one-sided corners is 3 times smaller than the other.

Let the angle ∠3 = X0, then, by condition, the angle ∠5 = 3 * X0.

The angles ∠3 and ∠5 are internal one-sided angles, the sum of which is 180, then:

X + 3 * X = 180.

X = 180/4 = 45. ∠3 = 45, then the angle ∠5 = 135.

Angle ∠2 = ∠3 = 45, angle ∠8 = ∠5 = 135 as vertical angles.

Angle ∠4 = ∠5 = 135, angle ∠6 = ∠3 = 45 as criss-cross corners.

Angle ∠1 = ∠4 = 135, angle ∠7 = ∠6 = 45 as vertical angles.