1.

It is given that ∠ XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ ZYP, find ∠ XYQ and reflex ∠ QYP.

Answer»

❤ Answer ❤

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°

❣refer to the ATTACHMENT ❣

@doll54 ✌☺


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