Question : In $\triangle$XYZ, P is the incentre of the $\triangle$XYZ. If $\angle$XYZ = 50°, then what is the value of $\angle$XPZ?
Option 1: 100°
Option 2: 115°
Option 3: 140°
Option 4: 130°
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Correct Answer: 115°
Solution :
According to the formula,
$\angle XPZ = 90° + \frac{50°}{2}$
$\therefore \angle XPZ = 90° + 25° = 115°$
Hence, the correct answer is 115°.
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