Draw 1
Draw 2
Missing Angles on
Parallel Lines
100

What is a transversal?

Any line that intersects two or more parallel lines.

100
Parallel lines
Straight lines that never intersect
100

What is Angle 4?  GIVE A REASON!

Angle 4 is 152o because it is vertical to the given angle.

200
What are supplementary angles?
Two angles whose measures add up to 180 degrees
200
Complementary Angles
Two angles whose measures add up to 90
200

What is Angle 5?  GIVE A REASON!

Angle 5 is 152o because it is corresponding to the given angle.

300

What are Corresponding Angles?

When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.

300

Adjacent Angles

Angles that are next to each other.

300

What is Angle 8? GIVE A REASON!

Angle 8 is 152o because it is vertical to Angle 5 which is corresponding to the given angle.

400
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
400
Alternate Exterior Angles
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
400

What is Angle 6? GIVE A REASON!

Angle 6 is 28o because it is corresponding to Angle 2 which is supplementary to the given angle.

OR

Angle 6 is 28o because it is supplementary to Angle 5 which is corresponding to the given angle.

500
What are Alternate Interior Angles?
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
500

Same-side interior angles

If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.

500

Describe two ways to find Angle 7.  USE ANGLE VOCABULARY IN YOUR ANSWER.

Angle 7 is 66o because it is supplementary to Angle 8 which corresponds to the given angle.

OR 

Angle 7 is 66o because it is supplementary to Angle 5 which is alternate interior to the given angle.

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