This presentation shows the following theorems involving the angles on the same side of the transversal. 1. Parallel Interior Angles Same Side Theorem 2. Parallel Exterior Angles Same Side Theorem

1. Pairs of Angles on Same Side
Theorems
Elton John Balignot Embodo

2. Statement of the Aim
 Identify statements whether true or
false;
 Solve equations involving pairs of
angles on same side theorem;
 Give reasons for the statements to
make them true.

3. Do the following in your group
 Copy the figure in y our sheet of paper
and make sure that line k and line n are
properly drawn as parallel.
 Use a protractor to measure the interior
angles on the same side of the
transversal:
and .
 Use a protractor to measure the exterior
angles on the same side of the
transversal;
and .
3 4
21
3 4
21

4. Pair of Angles on Same-side
Theorem
Parallel-Interior Angles-Same Side
Theorem
If two parallel lines are cut by a
transversal, then the interior angles on
the same side of the transversal are
supplementary.
Parallel-Exterior Angles-Same Side
Theorem
If two parallel lines are cut by a
transversal, then the exterior angles on

5. True or False
 Directions: Identify the following
statements whether true or false.
Write T for true statement while write
F for false statement.
1. .
2. and are supplementary
3. .
4. .
5. and are supplementary
0
3 6 180m m   
1 8
0
1 5 180m m   
0 0
5 4 90 90m m    
1 7

6. Assignment
Directions: Give the corresponding reason on
each statement below. Base your answer on
the figure at the right.
1. ‘
2. ‘
3. ‘
4. ‘
5. ‘
5 3m m  
3 1m m  
0
5 2 180m m   
2 3m m  
0
4 3 180m m   
1
2
34
5 6