Lines m and n are parallel. Find angle 2, if angle 1 = 56 degrees, angle 3 = 49 degrees.

Let’s denote the angle between angles 1 and 3 through the angle X0.

The sum of the angles is 1 + 3 + X = 180, since they form a developed angle.

Then 56 + 49 + X = 180.

X = 180 – 56 – 49 = 75.

Angle 2 = X = 75 as criss-crossing angles at the intersection of parallel lines m and n secant k.

Answer: Angle 2 is 75.



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