The four basic types of angles
What are acute, right, obtuse, and straight angles?
What are any combination of angles that add to 90 degrees?
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
Angle 1= 27 degrees
Angle 2= 43 degrees
The value of the angles together is
What is 70 degrees?
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
Angles that add up to 90 degrees
What are complementary angles
An example of supplementary angles
Any two angles that add to 180 degrees
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.
What is x = 78 degrees
y= 112 degrees
z= 78 degrees
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
Angles that go by two different names and add up to 180 degrees
What are linear pairs or supplementary angles?
The value of the angles 37 and 43 degrees
What is 80 degrees?
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.
What is 14x + 26?
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
Angles that form a V, are congruent, and are opposite each other
What are vertical angles?
The value of a vertical angle congruent to 124 degrees
What is a vertical angle equal to 124 degrees?
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
What is
8x + 27 = 115 degrees Obtuse angle
6x -1 = 65 degrees acute angle
When x = 14, the angles x + 16 and 3x + 18 complementary angles
True
x + 16 = 30
3x + 18 = 60
These are complementary angles
Angles that have a common side, common vertex, and do not overlap
What are adjacent angles?
What is x = 80, y = 100, z=80
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
What is
angle DBF = 37 degrees
angle EBC = 53
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.