The measure of the angles are as follows:
∠1 = 105°
∠2 = 75°
How to find the angles when a transversal cut parallel lines?
when a transversal line cut across parallel lines, angle relationships are formed. Examples are corresponding angles, alternate angles etc.
Therefore,
∠2 ≅ 75 degrees(corresponding angles)
Hence,
∠1 = 180 - ∠2 (angles on a straight line is 180 degrees)
∠1 = 180 - 75
∠1 = 105 degrees
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