(A) $XYP$ is a straight line.Therefore,$\angle XYZ + \angle ZYQ + \angle QYP = 180^o$.Since $64^o + \angle ZYQ + \angle QYP = 180^o$ and $YQ$ bisects

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) $XYP$ is a straight line.Therefore,$\angle XYZ + \angle ZYQ + \angle QYP = 180^o$.Since $64^o + \angle ZYQ + \angle QYP = 180^o$ and $YQ$ bisects $\angle ZYP$,we have $\angle ZYQ = \angle QYP$.Thus,$64^o + 2 \angle QYP = 180^o$.$2 \angle QYP = 180^o - 64^o = 116^o$.$\angle QYP = 58^o$.Reflex $\angle QYP = 360^o - 58^o = 302^o$.Now,$\angle XYQ = \angle XYZ + \angle ZYQ = 64^o + 58^o = 122^o$.

Class 9 Mathematics Lines and Angles Textbook - Lines and Angles

Difficult

It is given that $\angle XYZ = 64^o$ and $XY$ is produced to point $P$. If ray $YQ$ bisects $\angle ZYP$,find $\angle XYQ$ and reflex $\angle QYP$. (in $^o$)

A
$302$
B
$126$
C
$180$
D
$175$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Lines and Angles

Subtopic

Textbook - Lines and Angles

In the figure,if $AB \parallel CD$,$\angle APQ = 50^o$ and $\angle PRD = 127^o$,find $x$ and $y$.

Medium

View Solution

In the figure,if $AB \parallel DE$,$\angle BAC = 35^o$ and $\angle CDE = 53^o$,find $\angle DCE$. (in $^o$)

Medium

View Solution

In the figure,lines $AB$ and $CD$ intersect at $O$. If $\angle AOC + \angle BOE = 70^o$ and $\angle BOD = 40^o$,find $\angle BOE$ and reflex $\angle COE$.

Medium

View Solution

In the figure,if $AB \parallel CD$,$EF \perp CD$ and $\angle GED = 126^o$,find $\angle AGE$,$\angle GEF$ and $\angle FGE$.

Difficult

View Solution

In the figure,sides $QP$ and $RQ$ of $\Delta PQR$ are produced to points $S$ and $T$ respectively. If $\angle SPR = 135^o$ and $\angle PQT = 110^o$,find $\angle PRQ$. (in $^o$)

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

It is given that $\angle XYZ = 64^o$ and $XY$ is produced to point $P$. If ray $YQ$ bisects $\angle ZYP$,find $\angle XYQ$ and reflex $\angle QYP$. (in $^o$)

Similar Questions

In the figure,if $AB \parallel CD$,$\angle APQ = 50^o$ and $\angle PRD = 127^o$,find $x$ and $y$.

In the figure,if $AB \parallel DE$,$\angle BAC = 35^o$ and $\angle CDE = 53^o$,find $\angle DCE$. (in $^o$)

In the figure,lines $AB$ and $CD$ intersect at $O$. If $\angle AOC + \angle BOE = 70^o$ and $\angle BOD = 40^o$,find $\angle BOE$ and reflex $\angle COE$.

In the figure,if $AB \parallel CD$,$EF \perp CD$ and $\angle GED = 126^o$,find $\angle AGE$,$\angle GEF$ and $\angle FGE$.

In the figure,sides $QP$ and $RQ$ of $\Delta PQR$ are produced to points $S$ and $T$ respectively. If $\angle SPR = 135^o$ and $\angle PQT = 110^o$,find $\angle PRQ$. (in $^o$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module