Angles
Sums of Angles
Proofs
Basic Angle +
Angle + w/Expression
100
The four basic types of angles
What are acute, right, obtuse, and straight angles?
100
An example of complementary angles
What are any combination of angles that add to 90 degrees?
100
2x + 20 and 3x + 25 are vertical angles when x = 3
2x + 20 is 26 degrees
3x + 25 is 34 degrees
These are not equal, therefore, they are not vertical
100
Angle 1= 27 degrees
Angle 2= 43 degrees
The value of the angles together is
What is 70 degrees?
100
Given vertical angles: 2x + 30 and 3x + 25, find the value of each angle when x = 5
What is
2x + 30 = 40 degrees
3x + 25 = 40 degrees
200
Angles that add up to 90 degrees
What are complementary angles
200
An example of supplementary angles
Any two angles that add to 180 degrees
200
x + 3 and 4x + 12 are complementary angles when x = 15
x + 3 is 18 degrees
4x + 12 is 72 degrees
18 +72 = 90 these are complementary angles.
200
What is x = 78 degrees
y= 112 degrees
z= 78 degrees
200
Given vertical angles 6x + 36 and 8x + 30. Find the value of each angle when x=3
What is
6x + 36 = 54 degrees
8x + 30 = 54 degrees
300
Angles that go by two different names and add up to 180 degrees
What are linear pairs or supplementary angles?
300
The value of the angles 37 and 43 degrees
What is 80 degrees?
300
x + 43 and 9x + 37 are linear pairs when x = 10
x + 43 is 53 degrees
9x + 37 is 127 degrees
53 + 127 = 180, these are linear pairs.
300
What is 14x + 26?
300
Given supplementary angles 10x + 2 and 4x + 3. Find the value of each angle when x = 12.5
What is
10x + 2 = 127 degrees
4x + 3 = 53
400
Angles that form a V, are congruent, and are opposite each other
What are vertical angles?
400
The value of a vertical angle congruent to 124 degrees
What is a vertical angle equal to 124 degrees?
400
3x + 2 and 5x +6 are supplementary angles when x = 21
3x + 2 would be 65 degrees
5x + 6 would be 111 degrees
65 + 111 = 176 these are not supplementary angles
400
What is
8x + 27 = 115 degrees Obtuse angle
6x -1 = 65 degrees acute angle
400
When x = 14, the angles x + 16 and 3x + 18 complementary angles
True
x + 16 = 30
3x + 18 = 60
These are complementary angles
500
Angles that have a common side, common vertex, and do not overlap
What are adjacent angles?
500
What is x = 80, y = 100, z=80
500
6x + 12 and 8x + 30 are vertical angles when x = 2
6x + 12 is 24 degrees
8x + 30 is 46 degrees
24 is not = to 46, these angles are not vertical
500
What is
angle DBF = 37 degrees
angle EBC = 53
500
When x = 3, angles 6x + 12 and 8x + 30 are vertical angles. If not, what type of angles could they be?
False.
6x + 12 = 30
8x + 30 = 54
These are not vertical angles, they could be adjacent angles.