Question

If lines l || m are intersected by lines n || o and $\angle 1={34}^{\circ }$ then what is $\angle 8^{\prime }$?

• A. 146

Answer 1

The correct option is A 146
It can be observed,
$\angle 1$ + $\angle 2$ = 180${}^{\circ }$
$\Rightarrow$ 34${}^{\circ }$ + $\angle 2$ = 180${}^{\circ }$
$\Rightarrow$ $\angle 2$ = 146${}^{\circ }$
Also, $\angle 2=\angle 8$
[Exterior alternate angles are equal]
And $\angle 8=\angle 8^{\prime }$
[Corresponding angles are equal]
So, $\angle 2=\angle 8^{\prime }$
$\therefore$ $\angle 8^{\prime }={146}^{\circ }$