In the given figure, if \[l||m,\]then find the value of x. |
A) \[105{}^\circ \]
B) \[100{}^\circ \]
C) \[110{}^\circ \]
D) \[115{}^\circ \]
E) None of these
Correct Answer: A
Solution :
Draw a line n passing through O and parallel to l and m. |
Since,\[l||n,\] \[\angle 1+100{}^\circ =180{}^\circ \] |
[sum of the interior angles on the same side of the transversal] |
\[\Rightarrow \] \[\angle 1=80{}^\circ \] |
Since, \[n||m,\]\[\angle 2=30{}^\circ \] [alternate angles] |
Now, \[AOB=\angle 1+\angle 2\] |
\[=\,\,(80+30{}^\circ )=110{}^\circ \] |
But \[\angle AOB=(X+5){}^\circ =110{}^\circ \] |
\[\Rightarrow \]\[x=(110-5){}^\circ =105{}^\circ \] |
You need to login to perform this action.
You will be redirected in
3 sec