Vocabulary
A line that intersects or cuts two or more parallel lines.
Transversal
These angles are on the inside of the two parallel lines and on the same side of the transversal.
Same Side Interior Angles.
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42 degrees.
Two angles are supplementary. If one angle is 65 degrees what is the measure of the other angle?
115 degrees.
solve for m:
m + 20 = 90
m = 70
Two angles whose measures add up to 180 degrees
supplementary angles
Angles that occupy the same position on the top and bottom of parallel lines.
Corresponding angles.
What is the relationship between alternate interior angles?
They are congruent.
It is given that the measure of one alternate interior angle is 68 degrees. What is the measure of the other angle?
68 degrees.
Solve for m:
2m - 30 = 90
m = 60
Two angles whose measures sum to 90 degrees.
Complementary Angles.
What are linear pair?
Linear pairs are two adjacent angles formed by intersecting lines.
What is the relationship between supplementary angles?
They sum to 180 degrees.
It is given that one alternate exterior angle is 88 degrees. What is the measure of the other angle?
88 degrees.
Solve for x:
3x + 40 = 4x - 60
x = 100
Congruent angles formed by two intersecting lines
Vertical Angles.
These are exterior angles that are located on the outside of two parallel lines but on opposite side of the transversal.
Alternate exterior Angles.
What is the relationship between vertical angles?
They are congruent.
It is given that one vertical angle of intersecting lines measures 117 degrees. What is the measure of the other vertical angle?
117.
Solve for y:
2y + 25 + 4y - 67 = 180
y = 37
When 2 parallel lines are intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
Alternate Interior Angles.
Two lines that lie in the same plane but never intersect.
Parallel lines.
two angles are complementary; if the measure on one angle is 26 degrees what is the measure of the other angle?
154 degrees.
It is given that one of the same side interior angle of parallel lines is measured as 111 degrees. What is the measure of the other angle.
69 degrees.
Solve for p:
180 - p = 1/3(p) + 20
x = 120