In triangle XYZ, P is the incentre of the triangle XYZ. If angle XYZ = 50 degree, then what is the value of angle XPZ?

115 degree

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 \({115}^\circ\)