Question

it is given that angle XYZ = 64° and XY is produced to point P. draw a figure from the given information . if ray YQ bisects angle ZYP then find angle XYQ and reflex angle QYP.​

Answer 1

Answer:

∠XYQ =122° and  reflex∠QYP= 302°

Step-by-step explanation:

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°

Answer 2

Answer:

please refer the above three pictures

and hope this helps u

Step-by-step explanation:

the explanation is in the third picture

please refer it

and

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