Vocabulary
Draw
Angle Relationships
Angle Relationships Part 2
Angle Relationships Part 3
100

What is a transversal

Any line that intersects two or more parallel lines.

100

Parallel lines

Straight lines that never intersect

100
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
What is 42
100

How would you classify angles 2 & 3?

What is supplementary so they add up to be 180 degrees.

100

If a transversal cuts two parallel lines, how many angles are formed?

8

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 the relationship between angles 3 and 6 ?

What are Alternate Interior Angles and they are congruent.

200

Are corresponding angles congruent or supplementary?

Congruent

200

What is the measure of angle 4?

26 degrees

300
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position on the top and bottom parallel lines.
What are Corresponding Angles.
300

Supplementary Angles

A pair of angles that sum (add up to) 180 degrees.

300

If the measure of angle 4 is 112, what is the measure of angle 6?

What is 68. (same-side interior angles)

300

Are same side interior angles congruent or supplementary?

Supplementary

300

If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?

x=32  (4x-6=122 would be the equation to start with) 

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 the relationship between angles 5 and 8?

What are Vertical Angles and they are congruent.

400

If the measure of angle 2 is 30 degrees , what is the measure of angle 6?

What is 30 degrees because they are corresponding angles.

400

If the measure of angle 7 = 75 and the measure of angle 3 = 3x, what is the value of x?  (Ignore the 154 degrees in the picture.)

x=25  (Equation to start with is 3x = 75)

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 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

If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?

What is 37 and Alternate Exterior.

500

 

Given that a || m & the measure of angle 5=142°, then the measures of angles 3 and 4 are:

Angle 3 =38 degrees & Angle 4= 142 degrees

500

If the measure of angle 4= 5x+3 and the measure of angle 6= 8x-5, then find the value of x and find the measure of angles 4 & 6?

x=14 (start with What 5x+3+8x-5=180) ... Angle 4=73 degrees & Angle 6 = 107 degrees