Angle Relationships
Complementary
Angles
Angles
Supplementary
Angles
Angles
Vocabulary
Parallel Lines Cut by a Transversal
100
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42 degrees
100
Angle A is 75 degrees. What is the measure of its complement?
15 degrees
100
Angle A is 75 degrees. What is the measure of its supplement?
105 degrees
100
Two angles whose measures have a sum of 180 degrees are known as this.
What is supplementary angles?
100
Angle 1 is 100 degrees. What is the measure of angle 4?
100 degrees (vertical angles)
200
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
200
Angle A is 5 degrees. What is the measure of its complement?
85 degrees
200
Angle A is 5 degrees. What is the measure of its supplement?
175 degrees
200
Angles that are the same shape and size (measure) are known as this.
What is congruent?
200
Angle 1 is 100 degrees. What is the measure of angle 2?
80 degrees (supplementary, linear pair)
300
If the measure of angle 4 is 112, what is the measure of angle 6?
68 degrees
300
Angle A is 50 degrees. What is the measure of its complement?
40 degrees
300
Angle A is 50 degrees. What is the measure of its supplement?
130 degrees
300
Angles on opposite sides of a vertex are known as these. Hint: They are always congruent!
What are vertical angles?
300
Angle 3 is 45 degrees. What is the measure of angle 6?
45 degrees (alternate exterior)
400
What is the relationship between angles 5 and 8?
Vertical Angles.
400
Angle A is 48.5 degrees. What is the measure of its complement?
41.5 degrees
400
Angle A is 48.5 degrees. What is the measure of its supplement?
131.5 degrees
400
Angles that share a common side and vertex with one another (they are side by side)
What are adjacent angles?
400
Angle 1 is 100 degrees. Name all other angles with the same measure.
4, 5, 8
500
If the measure of angle 2 is 37 degrees, what is the measure of angle 7 AND what is the angle relationship?
Angle 7 = 37 degrees AND Alternate Exterior.
500
Angle A is 25 degrees. If Angle B is complementary to Angle A and Angle B is 3x + 2 degrees, then what is the value of x?
x = 21
(Angle A) + (Angle B) = 90
25 + 3x + 2 = 90
3x + 27 = 90
3x = 63
x = 21
500
If the measure of two supplementary angles is 5x+3 and 8x-5, find the value of x.
x = 14
(5x + 3) + (8x - 5) = 180
13x - 2 = 180
13x = 182
x = 14
500
The line that intersects a pair of parallel lines.
What is a transversal?
500
The measure of angle 2 is 7x. If angle 4 is 138 degrees, then what is the value of x? Use angle relationships to set up your equation.
x = 6
7x + 138 = 180
7x = 42
x = 6