O is the incentre of the triangle PQR. If angle POR = 140 degree, then what is the angle PQR?
Answer & explanation
Correct answer: option 3
According to the concept,
\({90}^\circ\) + \(\angle\)PQR/2 = \({140}^\circ\)
⇒ \(\angle\)PQR/2 = \({140}^\circ\) - \({90}^\circ\)
⇒ \(\angle\)PQR/2 = \({50}^\circ\)
⇒ \(\angle\)PQR = \({100}^\circ\)
Therefore, \(\angle\)PQR is \({100}^\circ\)