Vocabulary
Draw and Label
Angle Relationships
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Random Math
Random Math
Angle Relationships with Algebra
100
What is a transversal line?
Any line that intersects two or more parallel lines.
100
Parallel lines
Straight lines that never intersect
100
If the measure of angle 2 = 30o , what is the measure of angle 6? 
Angle 6 = 30o
100
What is the probability that I watch four random basketball games on TV this weekend and correctly pick the winner of each game?
1/16
100
If angle 1=55o, draw and find ALL ANGLES.
Angle 1, 4, 5, and 8 are 55o.
Angle 2, 3, 6, and 7 are 125o.
200
What are supplementary angles?
Two angles whose measures add up to 180o
Angles that sum to 180o
200
Complementary Angles
Two angles whose measures add up to 90
200
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
200
Brady really wants to run the two mile in the next track meet. This event is 3200 meters. On a 400 meter track, how many laps would Brady need to run to complete this race?
8 laps.
200
If angle 1=(2x)o and angle 4=(90 - x)o, find the value of x.
x = 30
300
What are angles that add up to 90o?
Complementary angles
300
Vertical Angles
Angles that are straight across on a pair of intersecting lines.
300
If the measure of angle 4=112o, what is the measure of angle 6?
Angle 6 = 68o. (Consecutive interior angles)
300
I really want to buy a new pair of running shoes online. They are listed at $70. I have a coupon code to take 30% off of that price. How much will I end up paying for those shoes?
$49
300
If the measure of angle 1 = (4x-6)o and the measure of angle 5 =122o, what is the value of x?
x=32
400
Describe two characteristics of vertical angles.
Congruent angles formed by two intersecting lines. These angles are located across from each other.
Angles opposite each other at a point of intersection.
400
Alternate Exterior Angles
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
400
What is the relationship between angles 5 and 8?
Vertical Angles
400
12 lb of peanuts which cost $1/lb were combined with 6 lb of spices which cost $4/lb. Find the cost per lb of the mixture.
$2/lb;
cost = 1*12+4*6 =12+24 =$36
total lbs = 12+6 = 18
cost per lb = 36/18 = $2 per pound
400
Angles 6 and 7 are vertical angles. If the measure of angle 6=75o and the measure of angle 7=(3x)o, what is the value of x?
x=25
500
What are Alternate Interior Angles?
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
500
consecutive interior angles
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.
500
If the measure of angle 2 = 37o, what is the measure of angle 7? What is the angle relationship?
37o; Alternate Exterior Angles
500
You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long will it be before you and your sister have the same amount of money?
60+7x=120+5x; x=30
In 30 weeks, you and your sister will have the same amount of money.
Algebraic solution:
60+7x=120+5x
2x=60
x=60/2
x=30
500
If the measure of angle 4=(5x+3)o and the measure of angle 6=(8x-5)o, find the measure of angles 4 & 6?
Angle 4 = 73o and Angle 6 = 107o;
Angle 4 and 6 are Consecutive Interior Angles, so they are supplementary.
Angle 4 + Angle 6 = 180o
5x+3+8x-5=180o
x=14
Angle 4=5(14)+3 = 73o
Angle 6=8(14)-5 = 107o