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Aptitude · Q36

Geometry

Competitive Exams · Aptitude · question 36

Q36

In the given figure, PQR is a triangle in which angle P : angle Q : angle R = 3 : 2 : 1, and PR is perpendicular to RS. What will be the measure of angle TRS?

Geometry mcq question image
In the given figure, PQR is a triangle in which angle P : angle Q : angle R = 3 : 2 : 1, and PR is perpendicular to RS. What will be the measure of angle TRS?
A.
60°
Answer
B.
45°
C.
50°
D.
30°

Answer: Option A

Solution

Answer: Option A
Solution:
P : Q : R = 3 : 2 : 1
3 + 2 + 1 = 6u → 180°
                  1u → 30°
P = 90°   ∠PRS = 90°
Q = 60°
R = 30°
∠P + ∠Q = ∠PRT
90° + 60° = ∠PRS + ∠TRS
150° = 90° + ∠TRS
∠TRS = 60°