In a ΔPQR, ∠Q = 55° and ∠R = 35°. Find the ratio of angles subtended by side QR on circumcenter, incenter and orthocenter of the triangle.

A. 3 : 2 : 1

B. 3 : 2 : 4

C. 3 : 2 : 4

D. 4 : 3 : 2

Answer: Option D

Solution(By Examveda Team)

Circumcenter at the mid point of QR hence angle made by QR
= 2 × 90°
= 180°
Angle made by QR at In center
= 90° + $$\frac{1}{2}$$ × ∠P = 135°
Ortho center is at point 'P'
Hence angle made by QR = 90
Then ration C : I : O
= 180 : 135 : 90
= 4 : 3 : 2