In the given figure,find the value of $x$ for which the lines $l$ and $m$ are parallel.
$(136^{\circ})$ If a transversal intersects two parallel lines,then each pair of consecutive interior angles (also known as co-interior angles) are supplementary,meaning their sum is $180^{\circ}$.
In the given figure,the angles $x$ and $44^{\circ}$ are consecutive interior angles on the same side of the transversal $n$.
Therefore,we have the equation:
$x + 44^{\circ} = 180^{\circ}$
Solving for $x$:
$x = 180^{\circ} - 44^{\circ}$
$x = 136^{\circ}$
In the given figure,the angles $x$ and $44^{\circ}$ are consecutive interior angles on the same side of the transversal $n$.
Therefore,we have the equation:
$x + 44^{\circ} = 180^{\circ}$
Solving for $x$:
$x = 180^{\circ} - 44^{\circ}$
$x = 136^{\circ}$
Explore More
Similar Questions
If two parallel lines are intersected by a transversal,then interior angles on the same side of the transversal are $\ldots \ldots . . .$
Easy
View SolutionIn the figure,if $AB \parallel CD \parallel EF$,$PQ \parallel RS$,$\angle RQD = 25^{\circ}$ and $\angle CQP = 60^{\circ}$,then $\angle QRS$ is equal to: (in $^{\circ}$)
Medium
View SolutionState whether the following statement is true or false:
$(1)$ In $\Delta PQR$,$\angle P = \angle Q = 95^{\circ}$ is possible.
$(1)$ In $\Delta PQR$,$\angle P = \angle Q = 95^{\circ}$ is possible.
Medium
View Solution$A$ part of a line with one end point is called a $\ldots \ldots \ldots .$
Easy
View SolutionHow many triangles can be drawn having its angles as $45^{\circ}, 64^{\circ}$ and $72^{\circ}$? Give reason for your answer.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo