Draw line segment MN
What relationship is shown below:
Complementary Angles
Solve for x algebraically. Find the measure of each angle including angle 1.
6x-19 = 3x + 32 (Vertical Angles are congruent)
x = 17
6x-19 = 83 degrees
3x+32= 83 degrees
angle 1 = 180-83 = 97 degrees
What angle pair is formed by 3 and 6? If angle 3 is 120, what is the measure of angle 6?
Alternate interior, 120
What is the most popular pizza topping in America?
Pepperoni
Name the following correctly:
What is the difference between supplementary angles, linear pair angles, and straight line angles?
Supplementary angles are two angles that add up to 180 and do not have to be adjacent, where as linear pair angles are two angles that add up to 180 and have to be adjacent. Straight line angles are two or more angles that add up to 180 because they form a straight line.
Solve for the missing angles and state how you know.
angle 1 = 47 (Vertical to given angle 47 degrees)
angle 2 = 43 (Complementary to angle 1)
angle 3 = 90 (Vertical to given right angle)
angle 4 = 43 (Complementary to given angle 47 degrees or vertical to angle 2)
What kind of angle pair is formed by angles 4 and 8? If angle 4 is 75, what is the measure of angle 8?
Corresponding, 75
Who is known as the "King of Pop"?
Michael Jackson
Which ray makes the following pair of angles adjacent?
Ray OB
Find the measure of x and y.
Be prepared to explain how you know.
x = 132 because it is supplementary to given angle (48 degrees) 180-48=32
y = 132 because it is vertical to angle x OR also supplementary to given angle (48 degrees)
Two supplementary angles are in a 2:7 ratio. Find the larger angle.
2x+7x=180
x = 20
7x = 7(20) = 140 degrees
What transversal creates corresponding angles 1 and 5?
line c
Which athlete has the most medals in Olympic history?
Michael Phelps
What angle is adjacent to Angle COD?
Angle DOB
Find the value of x algebraically.
Be prepared to explain how you know.
x+10+50 = 90
x = 30
The angles form a right angle.
OR
90+x+10+50=180
Straight line angles.
Solve for x algebraically. What reason supports your equation?
x+x+82=180
x = 49
Straight Line Angles
Name the angle pair and find the value of x algebraically.
Vertical Angles, x=14
What is the largest desert in the world?
Antarctica
Name the angles that add up to form a straight line. Angles must be labeled using three letters.
Angle EOF
Angle FOG
Angle GOH
Find the value of n algebraically.
Be prepared to explain how you know.
n+18+90+2n = 180
n = 24
Straight line angles
Find the value of x and y algebraically. Give reasons to support your equation(s).
3x+6=y (Vertical Angles)
x-10+3x+6+x-11=180 (Straight Line Angles)
x= 39
3(39)+6 = 123
So, y = 123
Find the value of x and y. State how you know.
3x+19=4x+14 (Corresponding Angles)
x=5
4(5)+14=34
y=180-34=146 (Consecutive Interior to 4x+14 OR Supplementary to 3x+19)
Which animal can sleep for up to three years?
Snail