Question

15.In figure, it is given that ZXYZ = 64° and XY is produced to a point
P. If ray YQ bisects ZZYP, Then find ZXYQ.

​

Answer 1

Answer:

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. Solution: It is given that line YQ bisects ∠PYZ.

Answer 2

Answer:

122

Step-by-step explanation:

It is given that line YQ bisects ∠PYZ.

Hence,

∠QYP = ∠ZYQ

PX is straight line

sum of angle in linear pair always equal to 180°

∠XYZ + ∠ZYQ + ∠QYP = 180°

Give that so plug the value we get ∠ XYZ = 64°

And ∠QYP = ∠ZYQ

∠ 64° + 2∠QYP = 180°

∠2∠QYP = 180° − 64° = 116°

Divide by 2 we get

∠QYP = 58°

Also, ∠ZYQ = ∠QYP = 58°

Using angle of reflection

∠QYP = 360° − 58° = 302°

∠XYQ = ∠XYZ + ∠ZYQ

= 64° + 58°

= 122°