00:00: In this movie, we'll discuss the Angle Addition Postulate. For the diagram shown, if P is in the interior of angle RST then we can conclude that the measure of angle RSP plus the measure of angle PST is equal to the larger angle RST. Let's find the measure of the unknown angle in the diagram shown. We can see that the measure of angle EBS is 43 degrees and the measure of angle GBS is 39 degrees. To get the measure of the larger angle, we will add the two angles together to get 82 degrees. And that's the application of the Angle Addition Postulate.

In the diagram of ∠ RST, what are the two smaller angles?
Responses
A RPS and STPRPS and STP
B RSP and PSTRSP and PST
C PSR and TPSPSR and TPS
Question 2
What is the measure of ∠ GBF in the example?
Responses
A 39 degrees39 degrees
B 41 degrees41 degrees
C 43 degrees43 degrees
Question 3
What is the measure of ∠ EBG?
Responses
A 81 degrees81 degrees
B 82 degrees82 degrees
C 83 degrees83 degrees

Question 2: A) 39 degrees

Question 3: C) 83 degrees

In the diagram of ∠ RST, what are the two smaller angles?

Responses
A RPS and STP
B RSP and PST
C PSR and TPS

The two smaller angles in the diagram of ∠ RST are RSP and PST.

Correct answer: B) RSP and PST