Angles and Angle Relationships
Transversal
A line that intercepts through two or more lines creating multiple angles
Same Side interior
Interior angles that lie on the same side of the transversal. Their sum is 180 degrees.
Adjacent Angles
Next to another angle
Vertical Angles
Opposite angles made by two intersecting lines
12x + 5 = 5x + 3
The measure of angle Q=(12x+5) The measure of angle S=(5x+3) Angles Q and S form a vertical pair. Write and equation to help you solve for x.
exterior angles
angles located on the transversal, outside the parallel lines
interior angles
angles locates on the transversal, inside the parallel lines
3x + 10 + 62 = 180
The measure of angle Z=(3x+10) The measure of angle W is 62 degrees. Angles Z and W form a linear pair. Write an equation to help you solve for x
60 = x + 12
Write an equation for this situation. (hint: the angles are congruent)
70 + 4 + 2x = 180 .
Write an equation for this situation. (hint: the angles are supplementary)
42 + x = 90
Write an equation for this situation. Angles A and B are complementary
8x + 3 = 7x + 12
Write an equation that will help you solve for x
x + 15 + 4x - 6 = 59
Write an equation that will help you solve for x
114 = 5x + 4
Write an equation that will help you solve for x. (Hint: what is the relationship between a pair of vertical angles?)
2x + x = 180
Write and equation for this situation.
Congruent Angles
angles that have the same measure
linear pair
two adjacent angles where the non common side is an opposite ray
Supplementary Angles
2 or more angles on a straight line that add up to 180 degrees
Complimentary Angles
2 or more angles that add up to 90 degrees
Same Side exterior
Exterior angles that lie on the same side of the transversal. Their sum is 180 degrees
Alternate Interior Angles
Angles on the inside of the parallel lines but on opposite sides
Alternate Exterior Angles
Angles on the outside of the parallel lines but on opposite sides
corresponding angles
Angles that are located in the same position but on the other parallel line
25 + 2x + 10 + 3x = 90
The measure of angle A = (25+2x) The measures of angle B = (10+3x) Angles A and B are complementary. Write an equation that will help you solve for x.