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Given: ∠XYZ = 64°
Now, ∠XYZ + ∠ZYP = 180°(Linear pair)
Or, 64° + ∠ZYP = 180°
Or, ∠ZYP = 180° - 64° = 116°
Since, YQ bisects ∠ZYP
So, ∠ZYQ = ∠PYQ = ½ ∠ZYP = 116°/2 = 58°
So, ∠XYQ = ∠XYZ + ∠ZYQ = 64°+ 58° = 122°
Now, reflex ∠QYP = 360° - 58° = 302°
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