1.4 Day 1 Practice Name: Vertical Angles and Linear Pair Angles Date:

1.4 Day 1 Practice
Vertical Angles and Linear Pair Angles
Name: ____________________________
Date: _____________________________
Identify vertical angles and linear pair angles.
Find measures of vertical angles and linear pair angles.
1) In 2004, several nickels were minted to commemorate the Louisiana Purchase and Lewis and Clark’s
expedition into the American West. One nickel shows a pipe and a hatchet crossed to symbolize peace
between the American government and Native American tribes.
a) Name a pair of vertical angles.
b) Name a linear pair of angles.
c) ABC and CBD form a linear pair and have
equal measures. Tell if ABC is acute, right, or obtuse.
2)
4
6
5
3)
1
2
3
4
Given: m4 = (2x + 5), m5 = (x +30)
Given: m4 = 7x + 44  , m3  3x +36 
Find:
Find:
m6
m1
5)
4)
1
2
4
9
3
7
8
Given: m2 = (x2 - 6x)
m4 = (7x - 42)
Given:
m8 = (x2 + 4x + 5),
m9 = (2x2 + 2x – 10)
Find:
Find:
m2
m9
1.4 Day 1 Notes
Complementary and Supplementary Angles
Identify complementary and supplementary angles.
Find measures of complementary and supplementary angles.
Example 1:
Given:
Find:
Example 2:
 1 and  2 are complementary
m  1= (4x + 12)°
m  2= (3x + 8)°
Given:
x, m  1, and m  2
Find:
*Are  3 and  4 supplementary? Explain.
3
Example 3:
m  3 = (3x + 95)°
m  4 = (12x – 20)°
x, m  3, and m  4
4
Example 4:
Given:
m  5 = 26.8°
Given:
m  6 = (7x – 12)°
Find:
the complement of  5
Find:
the complement of  6
the supplement of  5
the supplement of  6
If the measure of angle is x°, then what is the measure of its complement? Is supplement?

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