Vocabulary
Draw
Angle Relationships
Solve for x
Triangles
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 angle is 42 degrees, what is the measure of the second angle?
42 degrees
100
Angle 1=16x+22 has an Alternate Interior angle measuring 134O. Solve for x.
x=7
100
What is the measure of every angle in an equilateral triangle?
60 degrees.
200
What are supplementary angles?
Two angles whose measures add up to 180 degrees.
200
Linear Pair
Two adjacent angles that are supplementary.
200
What is the relationship between angles 3 and 6 ? 
Alternate Interior Angles (=)
200
Angle 2= 9x+2 has a Same Side Interior Angle measuring 133o. Solve for x.
x=5
200
A theater crew is constructing a triangular support frame for a background set. They weld two of the frame’s corners at angles measuring 48 degrees and 72 degrees. What must the measure of the third corner angle be so that the frame fits together correctly?
60 degrees
300
When 2 parallel lines are both intersected by a transversal, these angles are in the same position. Name the angle relationship.
Corresponding Angles
300
Vertical Angles
Opposite angles formed with intersecting lines. These angles are congruent.
300
If the measure of angle 4 is 112, what is the measure of angle 6?
68 degrees
300
Angle 1 = 6x-2 and Angle 2 = 11x-47. They are Corresponding Angles. Solve for x.
x=9
300
An engineer is designing an isosceles triangular mounting bracket for a solar panel. The two slanted support arms are equal in length. If the angle formed at the top vertex where the two arms meet is 40 degrees, what is the measure, in degrees, of each base angle along the roof line?
70 degrees
400
What are vertical angles?
Draw a picture to help explain your words.
Congruent angles formed by two intersecting lines. These angles are located across from each other.
(opposite angles that are equal to 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?
Vertical angles (=)
400
If the measure of angle 1 =9x-33 and angle 7=5x+3, find the value of x.
x=15
400
A hiking trail forms a triangle ABC. Path BC extends straight past corner C to a signpost at point D, creating an exterior angle ACD.
Angle A measures (2x + 10) degrees.
Angle B measures (3x + 15) degrees.
Exterior angle ACD measures (6x + 5) degrees.
Find the value of x.
Find the measure of angle A, angle B, and exterior angle ACD in degrees.
x = 20
A = 50
B = 75
ACD = 125
500
What are Alternate Interior Angles?
Draw a picture to help explain your words.
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.
(opposite side, inside)
500
Same-side interior 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?
37 degrees
500
If angle 2 = 29x-3, angle 4 = 15x+7, and angle 7 = 13y-17, solve for x and y.
Given that angle 2 is 82 degrees, what do angle 3 and angle 4 equal?
x=4 and y=10
500
A roof support frame forms an isosceles triangle ABC, where side AB is equal in length to side AC. Path BC extends past corner C to point D, creating exterior angle ACD.
Base angle B measures (2x + 10) degrees.
Exterior angle ACD measures (3x + 40) degrees.
Find the value of x.
Find the measure of base angle B, vertex angle A, and exterior angle ACD in degrees.
x = 20
B = 50
A = 80
ACD = 100