The measure of angle ∠x is 60° and ∠y is 80°.
What are Alternate Interior Angles?
Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.
Since angle ∠x and ∠120° are interior angles on the same side of transversal.
So, x° + 120° = 180°
x° = 180° - 120°
x° = 60°
x = 60
Since angle ∠x° and angle ∠y° are alternate angles
So, x° + y° = 140°
Substitute the value of x = 60 in above equation,
60° + y° = 140°
y° = 140° - 60°
y° = 80°
Hence, the measure of angle ∠x is 60° and ∠y is 80°.
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