Q257
In ΔPQR, ∠Q = 84° and ∠R = 48°, PS ⊥ QR at S and the bisector of ∠P meets QR at T. What is the measure of ∠SPT ?
A.
12°
B.
24°
C.
21°
D.
18°
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:

∠QPR = 180° - (84° + 48°) = 48°
∠QPT = = 24°
∠QPS = 6°
∠SPT + ∠SPQ = 24°
∠SPT + 6° = 24°
∠SPT = 18°