In triangle XYZ, P is the incentre of the triangle XYZ. If angle XYZ = 50 degree, then what is the value of angle XPZ?
Answer & explanation
Correct answer: option 2
Formula to be used
\(\angle\)XPZ = 90 + \(\angle\)Y/2, where P is incentre
Calculation
According to the formula,
⇒ \(\angle\)XPZ = 90 \(\frac{50}{2}\)
⇒ \(\angle\)XPZ = 90 + 25 = \({115}^\circ\)
Therefore, the \(\angle\)XPZ is \({115}^\circ\)