Exploring Parallel Lines and Transversals

What type of angles are all acute angles in the presence of parallel lines?

• Greater than 90 degrees

• The same as each other

• Different from each other

• Equal to 90 degrees

What is the measure of angle 5?

• 45 degrees

• 98 degrees

• 82 degrees

• 90 degrees

Which angles are congruent to angle 5?

• Angle 4 and Angle 6

• Angle 11 and Angle 12

• Angle 7 and Angle 8

• Angle 9 and Angle 10

What property do vertical angles have?

• They are both acute

• They are both obtuse

• They are congruent

• They are supplementary

Which angle is vertical to angle 6?

• Angle 9

• Angle 8

• Angle 7

• Angle 5

What method is used to find the measure of obtuse angles?

• Multiplying by 2

• Adding 82 degrees

• Subtracting 82 from 180

• None of the above

What is the measure of all obtuse angles found?

• 100 degrees

• 98 degrees

• 90 degrees

• 82 degrees

How are angles 1 and 4 related?

• Vertical angles

• Corresponding angles

• Linear pair

• None of the above

What is the relationship between angle 11 and angle 2?

• They are corresponding angles

• They are vertical angles

• They are not related

• They are supplementary

Why is it important to know one angle measure in this setup?

• To find all other angle measures

• To determine the type of triangle

• None of the above

• To calculate the area of the shapes