1.

In ΔPQR, O is the in-center and ∠R = 42 °. Find the measure of ∠QOP.1. 121° 2. 138°3. 111°4. 132°

Answer» Correct Answer - Option 3 : 111°

Given:

In ΔPQR, O is the incentre 

∠R = 42° 

Concept used:

In ΔPQR,

∠QOP = 90° + ∠R/2 

∠QOR = 90° + ∠P/2

∠POR = 90° + ∠Q/2

Calculations:

∠QOP = 90° + 42°/2

⇒ 90° + 21° 

⇒ 111° 

∴ ∠QOP is 111°.


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