Math, asked by aadityaraaj303, 19 days ago

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 2 QYP.


Answers

Answered by amishafilomeena1003
7

Q- 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

\color{cyan}\boxed{\colorbox{black}{XYP is a straight line,}}

\color{cyan}\boxed{\colorbox{black}{∠XYZ+∠ZYP=180° \: (linear pair)}}

\color{cyan}\boxed{\colorbox{black}{∠ZYP=180°−∠XYZ=180°−64°=116°}}

\color{cyan}\boxed{\colorbox{black}{Since YQ bisects ∠ZYP}}

∠ZYQ=∠QYP= \frac{1}{2}  \: ∠ZYP =  \frac{1}{2}  \times 166 °= 58°

\color{cyan}\boxed{\colorbox{black}{∠XYQ=∠XYZ+∠ZYQ=64°+58°=122°}}

\color{cyan}\boxed{\colorbox{black}{We have to find reflex \: ∠QYP}}

\color{cyan}\boxed{\colorbox{black}{Reflex \: ∠QYP=360°−∠QYP=360°−58°=302°}}

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