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Find the angles x, a, and y given the diagram and that the lines are parallel.
Mathematics
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Step-by-step solution
3 stepsHere's how to calculate , , and :
Calculate .
The angle and the angle are alternate interior angles between the top parallel line and the middle parallel line. Alternate interior angles are equal.
Calculate .
The angle and the angle are vertically opposite angles at the intersection point D. Vertically opposite angles are equal.
Since , then
Verify using co-interior angles.
The angle (
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