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

Any line that intersects two or more parallel lines.



What is a transversal

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
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship?
What is supplementary
100
If a transversal cuts two parallel lines, how many angles are formed?
What are 8
200

Two angles whose measures add up to 180 degrees

What are supplementary angles?



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.
200
One way to prove that lines are parallel lines is through understanding that corresponding angles are
What is congruent
200
What is the converse of the alternate interior angles theorem? If p and q are parallel, and r is a transversal, then angle D is congruent to angle E.
If r is a transversal and angle D is congruent to angle E, then p and q are parallel.
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
Linear Pair Angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
300
If the measure of angle 4 is 112, what is the measure of angle 6?
What is 68. (same-side interior angles)
300
To prove that lines are parallel one must understand that same side interior angles are.
What is supplementary
300
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
What is 4x-6=122 +6 +6 4x=128 x=32
400

Congruent angles formed by two intersecting lines. These angles are located across from each other.



What are vertical angles?

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.
400
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
What is 30.
400

If the measure of angle 6 = 75 and the measure of angle 7=3x, what is the value of x?


X=25

500

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



What are Alternate Interior Angles?

500
Same-side angles (consecutive)
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, measure of angle 5=98°, then the measures of angles 3 and 4 are:
What is angle 3 =82 degrees and angle 4= 98 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?
What is 5x+3+8x-5=180 13x-2=180 13x=182 x=14 Angle 4=5(14)+3=73 degrees Angle 6= 8(14)-5=107 degrees