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.