Triangle Sum Theorem
Parallel Lines Cut by a Transversal
Angles with Algebra
Are the lines parallel?
100
How many degrees should the interior angles of a triangle add up to?
180 degrees
100
Alternate interior and exterior angles and Corresponding angles are always ....
Congruent
100
What angle relationship is shown in the picture below? And what is the sum of their angles?
Supplementary Angles and the sum equals 180 degrees
100
Look at the BLUE diagram Stanton is holding.
Are lines W and X parallel?
How do you know?
Yes, because their same-side interior angles are supplementary (add to 180°).
200
how many angles are there inside a triangle
3
200
Which angle is not congruent to angle 5?
6
200
What is the value of x?
x=42
200
Look at the PURPLE diagram Stanton is holding.
Are lines A and B parallel?
How do you know?
Corresponding angles must be congruent (equal) for lines to be parallel.
300
What is the missing angle?
65 degrees
300
What kind of angles are 3 and 6
alternate interior angles
300
What is the value of X?
X=15
300
Look at the GREEN diagram Stanton is holding.
Are lines J and S parallel?
How do you know?
No, they are not parallel. Corresponding angles are congruent (equal) when a transversal crosses parallel lines.
400
Solve for x
x= 30
400
What kind of angles are 1 and 5?
corresponding angles
400
What is the relationship between these angles
AND What is the value of X?
The relationship - Vertical Angles
The value of X is 10
400
Look at the ORANGE diagram Stanton is holding.
Are lines P and Q parallel?
How do you know?
Yes, because the same-side (consecutive) exterior angles are supplementary (add to 180).
500
Find the value of v
Angle 1 = (4x - 44) Angle 2 = (3v) Angle 3 = (2v+8)
v = 24
500
What types of angles are 7 and 8?
Supplementary angles
500
Name the relationship and determine the value of X
Alternate interior angles
X=35
500
Look at the PINK diagram Stanton is holding.
Are lines S and T parallel?
How do you know?
No, because the alternate exterior angles are not congruent (equal).