Any line that intersects two or more coplanar lines.
Transversal
Parallel lines
Straight lines that never intersect
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship?
What is supplementary
If a transversal cuts two parallel lines, how many angle measures do you need to know to figure out all 8 angle measures in the figure.
1
What are supplementary angles?
Two angles that add to 180
Same-side interior angles. Include angle measures to make the relationship clear.
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.
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
What is the value of the missing angle?
30 degrees
The theorem that the adjacent, exterior angle to a triangle is equal to the sum of the other two angles.
Exterior Angle Theorem
Alternate Exterior Angles. Include angle measures.
What is the relationship between angles 5 and 8?
What are Vertical Angles.
What is the measure of angle r?
20 degrees
If angles 6 and 7 are vertical angles, and the measure of angle 6 = 75 and the measure of angle 7=3x, what is the value of x?
x=25
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.
A Linear Pair
If the measure of angle 4 is 112, what is the measure of angle 6?
What is 68. (same-side interior angles)
Lines are parallel when same side interior angles are _________________.
Supplementary
If the measure of angle 1 = 4x-6 and the measure of angle 5 =122, what is the value of x?
4x-6=122
+6 +6
4x=128
x=32
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.
Alternate interior angles
Angle Angle Similar Triangles
What is the measure of angle f, c and d?
f = 45
c = 73
d = 62
Solve for x
-7