State the angle relations ship that the diagram shows and what the sum of the angles equal. relationship:
Angles at a point
360 degrees
Angle A is 20 degrees. What is the measure of its complement?
70 degrees
Two angles are supplementary. Both angles are congruent. What is the measure of both angles?
Both angles are 90 degrees
If angle a is 72 degrees, what is the measure of angle b?
72 degrees
Solve the equation:
7(2x−6)= 28
x = 5
These angles add up to 180 degrees:
supplementary angles
Angle A and B are complementary. Angle A = 2x and Angle B= 3x. State the value of x
x = 18
What is the value of x?
x = 50
The angle that is equal to angle 2:
What is angle 4
Find the median and mean of the data set below:
16,22,11,38,5,45,10
Median = 16
Mean = 21
These angles add up to 90 degrees:
complementary angles
Determine the value of x.
15 degrees
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
v = 61
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
State the angle relationship shown AND the important relationship between their angle measures,
Vertical Angles
Vertical angles are congruent(equal)
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
Find the value of angle C:
44 degrees
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
Solve the inequality −3x − 62 ≥ −47
x ≤ −5
Angles that share a common ray and vertex are called...
adjacent angles
∠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
∠1 and ∠2are supplementary angles. If m∠1=(7x−12)∘ and m∠2=(7x−18)∘, then find the measure of ∠1
m∠1=93
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
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