Angle relations on intersecting/parallel lines, transversal, angle sum properties.
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Q1 · Lines and Angles · EASY
Two parallel lines are cut by a transversal. If one of the alternate interior angles measures 65 degrees, what is the measure of its corresponding alternate interior angle?
Q2 · Lines and Angles · EASY
In the given figure, lines AB and CD are parallel, and line EF is a transversal. If angle PQR = 48 degrees (where Q is on AB and angle is below the line), find the corresponding angle on line CD.
Q3 · Lines and Angles · MEDIUM
Two lines intersect at a point. If one of the angles formed is 3x + 20 degrees and its vertically opposite angle is 5x - 40 degrees, find the value of x.
Q4 · Lines and Angles · MEDIUM
Two parallel lines are cut by a transversal. The ratio of two interior angles on the same side of the transversal is 2:3. Find the measure of the smaller angle.
Q5 · Lines and Angles · EASY
Two parallel lines are cut by a transversal. If one interior angle on the same side of the transversal is 65°, what is the measure of the other interior angle on the same side?