In the figure,if lines PQ and RS intersect at | vedclass

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

Question

(D) In $\Delta PRT$,$\angle P + \angle R + \angle PTR = 180^\circ$ [By the angle sum property of a triangle]$\Rightarrow 95^\circ + 40^\circ + \angle

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(D) In $\Delta PRT$,$\angle P + \angle R + \angle PTR = 180^\circ$ [By the angle sum property of a triangle]$\Rightarrow 95^\circ + 40^\circ + \angle PTR = 180^\circ$$\Rightarrow \angle PTR = 180^\circ - 135^\circ = 45^\circ$Since lines $PQ$ and $RS$ intersect at $T$,the vertically opposite angles are equal.$	herefore \angle QTS = \angle PTR = 45^\circ$Now,in $\Delta TQS$,$\angle TSQ + \angle STQ + \angle SQT = 180^\circ$ [By the angle sum property of a triangle]$\Rightarrow 75^\circ + 45^\circ + \angle SQT = 180^\circ$$\Rightarrow 120^\circ + \angle SQT = 180^\circ$$\Rightarrow \angle SQT = 180^\circ - 120^\circ = 60^\circ$Thus,$\angle SQT = 60^\circ$.

In the figure,if lines $PQ$ and $RS$ intersect at point $T$,such that $\angle PRT = 40^\circ$,$\angle RPT = 95^\circ$ and $\angle TSQ = 75^\circ$,find $\angle SQT$. (in $^\circ$)

Similar Questions

In the figure,lines $XY$ and $MN$ intersect at $O$. If $\angle POY = 90^o$ and $a: b = 2: 3$,find $c$. (in $^o$)

In the figure,$\angle X = 62^o$ and $\angle XYZ = 54^o$. If $YO$ and $ZO$ are the bisectors of $\angle XYZ$ and $\angle XZY$ respectively of $\Delta XYZ$,find $\angle OZY$ and $\angle YOZ$.

In the figure,if $AB \parallel CD$,$CD \parallel EF$ and $y: z = 3: 7$,find $x$. (in $^o$)

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

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 $\angle COE$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module