One of the angles that are obtained when two parallel secant lines intersect is 49 degrees.

One of the angles that are obtained when two parallel secant lines intersect is 49 degrees. Find the rest of the corners.

The angle 1 is adjacent to the angle АОВ, then ∠1 = 180 – ∠АОВ = 180 – 49 = 131.

Angle ∠2 = ∠AOB = 49, ∠3 = ∠1 = 131 as vertical angles.

Angle ∠4 = ∠AOB = 49, angle ∠7 = ∠3 = 131 as criss-crossing angles at the intersection of parallel secant lines.

Angle ∠5 = ∠7 = 131, angle ∠6 = ∠4 = 49 as vertical angles.

Answer: The remaining angles are 49 and 131.