Question

6. It is given that Z XYZ=64° and XY is produced
to point P. Draw a figure from the given
information. If ray YQ bisects ZZYP, find ZXYQ
and reflex ZQYP.. .​

Answer 1

Answer:

Step-by-step explanation:

<xyz+a+a=180 \linear pair

64+2a=180

2a=180-64

2a=116

a=116/2

a=58

<xyq=64+58

<XYQ=122

REFLEX<QYP=360-58

<QYP=302

Answer 2

Given-

$\angle$ XYZ = 64°

XY is produced to point P.

Ray YO bisects $\angle$ ZYP

To find -

$\angle$ XYO

Reflex of $\angle$ QYP

Solution -

$\angle$ XYZ + $\angle$ ZYP = 180° (Linear pair)

64°+ (x+x) = 180°

2x = 180°- 64°

2x = 116°

$\implies$ x = $\frac{116}{2}$

$\therefore$ x= 58 °

II) $\angle$ XYQ = 64° + x

64° + 58°

122°

III) reflex of $\angle$ QYP = 360°- 58°

$\implies$ 203°

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