Types of Angle Relationships
Complementary Angles
Supplementary Angles
Vertical Angles
Mixed and Review
100

State  the angle relations ship that the diagram shows and what the sum of the angles equal.  relationship:

Angles at a point

360 degrees

100

Angle A is 20 degrees. What is the measure of its complement?

70 degrees

100

Two angles are supplementary. Both angles are congruent. What is the measure of both angles? 

Both angles are 90 degrees

100

If angle a is 72 degrees, what is the measure of angle b?

72 degrees

100

Solve the equation: 

7(2x−6)= 28


x = 5

200

These angles add up to 180 degrees: 

 supplementary angles

200

Angle A and B are complementary. Angle A = 2x and Angle B= 3x. State the value of x

x = 18

200

What is the value of x?

x = 50

200

The angle that is equal to angle 2:

What is angle 4

200

Find the median and mean of the data set below:

16,22,11,38,5,45,10

Median = 16 

Mean = 21

300

These angles add up to 90 degrees: 

complementary angles

300

Determine the value of x. 

15 degrees

300

Angle A and Angle B are supplementary. Angle A is 84 degrees and Angle B is represented by (5m +1) degrees. Determine the value of m. 

m = 19

300
Angle A and Angle B are vertical angles. Angle A is 123 degrees. Angle B can be represented as (2v+1) degrees. Determine the value of v.

v = 61

300

Damian was out at a restaurant for dinner when the bill came. His dinner came to $26. He wanted to leave a 31% tip. How much was his meal plus the tip?

$34.06

400

State the angle relationship shown AND the important relationship between their angle measures,



Vertical Angles 

Vertical angles are congruent(equal)

400

Angle x and Angle y are complementary. Angle x is represented by (7n - 3) degrees and Angle y is 37 degrees. Determine the value of n.

n = 8

400

Find the value of angle C:

44 degrees

400

Angle x is represented as (8s - 2) degrees and Angle y is 110 degrees. If Angle x and Angle y are Vertical angles, determine the value of s. 

s = 14

400

Solve the inequality −3x − 62 ≥  −47

x ≤ −5

500

Angles that share a common ray and vertex are called...

adjacent angles

500

∠1 and ∠2 are complementary angles. If m∠1=(2x−13)∘and m∠2=(5x−9)∘, then find the measure of ∠1.

m∠1=19

500

∠1 and ∠2are supplementary angles. If m∠1=(7x−12)∘ and m∠2=(7x−18)∘, then find the measure of ∠1

m∠1=93

500

If Angle 1 and Angle 2 are vertical angles. Angle 1 is represented as (2x - 7) and Angle 2 is represented as (4x + 3). Write an equation that could be used to determine the value of x. DO NOT SOLVE

2x - 7 = 4x + 3

500

Amelia needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 2.5 hours and charged her $100 for parts. The total was $237.50. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

2.5x + 100 = 237.5 

x = 55 

$55 per hour

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