What is a transversal
Any line that crosses two or more parallel lines.
Parallel lines
Straight lines that never intersect
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42
Solve for x.
16
If a transversal cuts two parallel lines, how many angles are formed?
8 angles are formed
What are supplementary angles?
Two angles whose measures add up to 180 degrees
Complementary Angles
Two angles whose measures add up to 90
What is the relationship between angles 3 and 6 ?
What are Alternate Interior Angles.
solve for x
24
solve for x.
7
When 2 parallel lines are both crossed by a transversal, these angles occupy the same position on the top and bottom parallel lines.
Corresponding Angles.
Linear Pair Angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
If the measure of angle 4 is 112, what is the measure of angle 6?
68. (same-side interior angles)
solve for x.
20
If angle 2 is 90 degrees, what does angle 3 equal.
90 degrees.
What are vertical angles?
Congruent angles formed by two intersecting lines. These angles are located across from each other.
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.
What is the relationship between angles 5 and 8?
Vertical Angles.
If the measure of angle 2 is 30 degrees , what is the measure of angle 6?
30.
Solve for x.
x= 20
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.
Same-side Interior 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.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
37 and Alternate Exterior.
Given that angle 2 is 82 degrees, what does angle 3 and angle 4 equal?
Angle 3 =82 degrees and angle 4= 98 degrees
Solve for x, when angle 1 is 3x + 15, and angle 3 is 7x +3.
x=3