Angles and Their Relationships

Mr. Dell explains how to solve problems involving angles formed by two parallel lines cut by a transversal. The video covers three problems: Problem A involves finding angles using alternate interior and same side interior angles; Problem B requires solving for x using corresponding angles; and Problem C involves solving for x and angle measures using alternate interior angles.

What is the relationship between two parallel lines cut by a transversal?

• They form supplementary angles.

• They form right angles.

• They form complementary angles.

• They form congruent angles.

What are alternate interior angles?

• Angles on the same side of the transversal.

• Angles on opposite sides of the transversal and inside the parallel lines.

• Angles on opposite sides of the transversal and outside the parallel lines.

• Angles that are adjacent to each other.

If angle 1 is 63 degrees, what is the measure of angle 2, given they are alternate interior angles?

• 63 degrees

• 90 degrees

• 117 degrees

• 180 degrees

What is the sum of angles on a straight line?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

If angle 2 is 63 degrees, what is the measure of angle 3, given they form a straight line?

• 90 degrees

• 117 degrees

• 63 degrees

• 180 degrees

What is the measure of angle 3 if angle 1 is 63 degrees and they are same side interior angles?

• 180 degrees

• 90 degrees

• 63 degrees

• 117 degrees

What is the conjecture about same side interior angles?

• They are adjacent.

• They are complementary.

• They are equal.

• They add up to 180 degrees.

What is the measure of angle 3 if angle 1 is 63 degrees and they are same side interior angles?

• 90 degrees

• 117 degrees

• 63 degrees

• 180 degrees

What is the conjecture about same side interior angles?

• They are complementary.

• They are adjacent.

• They are equal.

• They add up to 180 degrees.

What is the measure of angle 3 if angle 1 is 63 degrees and they are same side interior angles?

• 90 degrees

• 117 degrees

• 63 degrees

• 180 degrees