Understanding Angles and Their Relationships

This lesson covers the properties of parallel lines cut by transversals, focusing on the congruency of obtuse and acute angles. It explains how to calculate unknown angles by subtracting from 180 degrees and discusses the concept of vertical angles and their congruency. The lesson emphasizes that knowing one angle allows you to determine all congruent angles in the setup.

What happens to the angles when two parallel lines are intersected by a transversal?

• All angles become right angles.

• Obtuse angles are congruent, and acute angles are congruent.

• All angles are congruent.

• All angles are different.

If angle 6 is 124 degrees, what is the measure of angle 4?

• 90 degrees

• 180 degrees

• 124 degrees

• 56 degrees

How do you find the measure of an acute angle if you know an obtuse angle is 124 degrees?

• Add 124 to 180

• Multiply 124 by 2

• Subtract 124 from 180

• Divide 124 by 2

What is the measure of an acute angle if the obtuse angle is 124 degrees?

• 56 degrees

• 156 degrees

• 34 degrees

• 124 degrees

What is the measure of angle 7 if it is acute and angle 2 is obtuse?

• 146 degrees

• 34 degrees

• 124 degrees

• 90 degrees

If angle 7 is 34 degrees, what is the measure of angle 2?

• 34 degrees

• 90 degrees

• 146 degrees

• 124 degrees

What does it mean for angles to be vertical?

• They are across from each other and congruent.

• They are supplementary.

• They are adjacent to each other.

• They are on the same line.

How can you find the measure of an unknown acute angle if you know an obtuse angle?

• Divide the obtuse angle by 2

• Multiply the obtuse angle by 2

• Subtract the obtuse angle from 180

• Add the obtuse angle to 90

What is the relationship between all obtuse angles when two parallel lines are cut by a transversal?

• They are all different.

• They are all complementary.

• They are all congruent.

• They are all supplementary.

If you know one obtuse angle, what can you determine about the other obtuse angles?

• They are all complementary.

• They are all supplementary.

• They are all congruent.

• They are all different.