How many pairs of vertical angles are there?
Which pairs are vertical angles?
<1, <3
<2, <4
<5, <7
<6, <8
If <4 = 67, what is <5?
<113
Two or more angles whose angle measures add up to 90*.
Complementary Angles
Each of the pairs of opposite angles made by two intersecting lines. They have the same angle measure.
Vertical Angles
If <4 = 67, what is <5?
<113
If <2 is 114, what is <5; why?
<5 = 66
Ex: <2 & <6 are corresponding, <5 & <6 are supplementary
Two or more angles whose angle measures add up to 180*.
Supplementary Angles
A line that crosses (intersects) two or more lines.
Transversal
If <7 is 2y + 7 and <1 is 115, what is y?
y = 54
If <4 is 67 and <7 = 3x + 14, what is <7?
x = 33
<7 = 113
These angles are on opposite sides of a transversal that crosses parallel lines and are outside the other two lines. They have congruent angle measures.
Alternate Interior Angles
The angles which occupy the same relative position at each intersection where a straight line crosses two others.
Corresponding Angles
If <5 = 42 + x and <4 = 18 + 3x
What is x? <5? <4?
x = 40
<5 = 82
<4 = 138
<1 = 75
What is the measure of angle 6?
<6 = 105
These angles are on opposite sides of a transversal that crosses parallel lines and are between the other two lines. They have congruent angle measures.
Alternate Exterior Angles
The corresponding angles are equal when this is true.
Two parallel lines cut by a transversal
<3 = 2x + 17 and <6 = 78 + 3x.
What is the measure of angle 3?
<3 = 17
If <5 = 4m + 23 and <2 = 6m + 32, what is <1?
m = 12.5
<1 = 73
These angles are on the same side of the transversal are between the other two lines. They are supplementary angles. Also called consecutive interior angles.
Same-Side Interior Angles
From two angles that are supplementary, given angle x and and the other is... Hint: (x-180)
The supplement