Question

In figure 3.49 angle RST 56 seg PT I ray ST
seg PR L ray SR and seg PR = seg PT
Find the measure of angle RSP
State, the reason for your answer.
Fig. 3.49.​

Answer 1

In figure 3.49, RST 56°, seg PT I ray ST seg PR 1 ray SR and seg PR seg PT Find the measure of LRSP State the reason for your answer. /P Fig. 3.49 - 183639.

Answer 2

Step-by-step explanation:

By Part II of the angle bisector theorem, any point equidistant from sides of an angle is on the bisector of the angle

∠TSP = ∠RSP

Now, ∠TSP + ∠RSP = ∠TSR

⇒ ∠RSP + ∠RSP = 56∘

⇒ 2∠RSP = 56∘

⇒ ∠RSP = 28∘

Hence, the measure of ∠RSP is 28