The sum of 2 angles that are obtained when two straight lines intersect is 60 degrees. Find the degree measure of all angles

When two lines intersect, ∠1, ∠2, ∠3 and ∠4 are formed (clockwise).
∠1 and ∠3 are vertical, then ∠1 = ∠3 = x.
Thus:
x + x = 60 °;
2 * x = 60 °;
x = 60 ° / 2;
x = 30 °.
Hence, ∠1 = ∠3 = x = 30 °.
∠1 and ∠2 are vertical, then:
∠1 + ∠2 = 180 °;
30 ° + ∠2 = 180 °;
∠2 = 180 ° – 30 °;
∠2 = 150 °.
∠2 and ∠4 are vertical, then ∠2 = ∠4 = 150 °.
Answer: ∠1 = 30 °, ∠2 = 150 °, ∠3 = 30 °, ∠4 = 150 °.