Question

In an obtuse angled ΔPQR, ∠P is the obtuse angle and M is the ortho-centre of the triangle. If ∠QMR = 62°, then ∠QPR = ?

1. 120^o
2. 126^o
3. 118^o
4. None of these

Answer 1

Correct Answer - Option 3 : 118^o

Given:

∠P = Obtuse angle 

M = Ortho centre of the triangle 

∠QMR = 62° 

Formula Used:

Angle at ortho centre + Angle at the opposite vertex = 180° 

Calculation:

∠QMR + ∠QPR = 180°  

⇒ 62° + ∠QPR = 180° 

⇒ ∠QPR = 180° – 62° 

⇒ ∠QPR = 118°    

∴ The value of ∠QPR is 118°.