Question

Quesuon 12. In the given figure angle XYZ = 54° and XY is produced to point P. If ray YW bisects angleZYP find VW ud reflex angle WYX.​

Answer 1

Step-by-step explanation:

angle xyp is 180 ,

=64+angle xyq+angle q to=180

here yq bisect zyq so that both angle zyq and qyp are same

64+2x zyq=180

zyq=180-64\2

=116\2

=58

now

xyq=58+64=122

and

reflex angle of qyp=360-58

=302

Answer 2

Answer:

It is given that angle XYZ 64 and XY is produced to point P draw a figure

Step-by-step explanation:

 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.

Question 6. 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.

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°