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Aptitude · Q257

Geometry

Competitive Exams · Aptitude · question 257

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°
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Geometry mcq question image
∠QPR = 180° - (84° + 48°) = 48°
∠QPT = = 24°
∠QPS = 6°
∠SPT + ∠SPQ = 24°
∠SPT + 6° = 24°
∠SPT = 18°