Name:
Ms. D’Amato
Date:
Block:
Describe Angle Pair Relationships
Be able to recognize vertical angles. Vertical s are created when 2 lines intersect.
Vertical angles are congruent.
1
What angles to the right are vertical angles?
2
4
3
Adjacent angles are 2 angles that:
1.
2.
3.
4.
are in the same plane
have the same vertex
have a common side
do not have any common interior points
Are these angles adjacent?
6
4
1 2
3
________
7
9
10
5
________
Definition: A
sides are opposite rays.
8
________
of angles is 2
_______
_______
s whose noncommon
Be able to recognize a linear pair of angles.
3
1
2
Are s 1 and 2 a linear pair?
4
Are s 3 and 4 a linear pair?
5
6
8
7
Name all the possible linear pairs.
Definitions:
A. Complementary angles - _____ angles whose measures total _____°.
B. Supplementary angles - ______ angles whose measures total _____°.
Examples:
1. If 1 and 2 are supplementary and m1 = 50°, then m2 = _____°.
2. The complement of a 30° angle is an angle of _______°.
3. The supplement of an angle of x° is an angle of ___________°.
4. The complement of an angle of x° is an angle of ___________°.
5. If 1 and 2 are complementary,
m1 = 2(x + 1)° and
m2 = x – 5,
find x, m1, and m2.
Linear Pair Postulate – If two angles form a linear pair, then they are supplementary.
1
2
Example:
Since 1 and 2 form a linear pair, then
1 and 2 are
.
Thus, m1 + m2 = _______°.
Let’s try to put this knowledge to use 
Name all the linear pairs.
Name all the vertical pairs.
Name three angles that form a supplement.
Solve for each variable and then give the measure of each angle.
1.
2.
3.
4.
A and B are supplementary. Find mA and mB. Draw a picture.
5.
mA = 120
mB = x
6.
mA = x
mB = 20
7.
m A = (11x + 2)°
mB = (8x + 7)°
8.
m A = (13x + 10)°
mB = (12x + 20)°
A and B are complementary. Find mA and mB. Draw a picture.
9.
mA = 80
mB = x
10.
mA = x
mB = 30
11.
m A = (5x + 4)°
m B = (7x – 10)°
12.
m A = (4x – 2)°
mB = (11x + 17)°
13. Baseball The foul lines of a baseball field intersect at home plate to form a right angle. You hit a
baseball whose path forms an angle of 64° with the third base foul line (see figure below). What is the
angle between the first base foul line and the path of the baseball?
14. Stair Railing A stair railing is designed as shown in the figure. Use the angles identified in the
figure to name two pairs of the indicated type of angle pair.
Complementary angles:
Supplementary angles:
Vertical angles:
Linear pair:
Adjacent angles: