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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?
Answer & Solution
Correct Answer:
Option
A
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°
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°
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