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Angle Relationships in Intersecting and Parallel Lines

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  • (0:01) Angle Relationships of 2 Intersecting Lines: When two lines intersect, they form two pairs of vertically opposite angles. Vertically opposite angles are always equal.
  • (0:24) Adjacent Angles and Supplementary Angles: When two angles are adjacent and form a straight line, they add up to 180°. This makes them supplementary angles.
  • (0:47) Angles Formed by Parallel Lines and Transversals: When a transversal intersects parallel lines, it creates corresponding, alternate, and co-interior angles, a common topic in geometry.
  • (1:39) Property of Co-Interior Angles: Co-interior angles lie on the same side of the transversal and sum up to 180 degrees.

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Angle Relationships in Intersecting and Parallel Lines

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Q: If two lines intersect, and one angle measures $50^\circ$, what is the measure of its vertically opposite angle?

An intersecting lines diagram showing one angle labelled 50° in pink and its vertically opposite angle.

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Q: Two adjacent angles on a straight line are $x$ and $y$. If $x = 120^\circ$, what is $y$?

A diagram showing two adjacent angles on a straight line.

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Q: Two parallel lines are intersected by a transversal. If one co-interior angle is $110^\circ$, what is the measure of the other co-interior angle?

A diagram showing two parallel lines intersected by a transversal. One angle is labelled 110°, and its alternate angle is marked with a question mark.

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Q: Two parallel lines are intersected by a transversal. If one alternate angle measures $75^\circ$, what is the measure of the other alternate angle?

A diagram showing two parallel lines intersected by a transversal. One angle is labelled 75°, and its corresponding angle is marked with a question mark.

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Q: Two parallel lines are intersected by a transversal. One angle is $140^\circ$, and what’s its corresponding angle?

A diagram showing two parallel lines intersected by a transversal. One angle is labelled 140°, and its alternate angle is marked with a question mark

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Q: Two parallel lines are intersected by a transversal. One angle is $3x^\circ$, and its co-interior angle is $6x^\circ$. What is the larger angle?

A diagram showing two parallel lines intersected by a transversal. Two co-interior angles are marked.

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