Question

In the figure, k || i and l is the transversal. If $\angle 1=(2x+30)°$ and $\angle 7=150°$, then find the value of x.

• A. 60

Answer 1

The correct option is A 60
Given, k || i and l is the transversal. If $\angle 1=(2x+30)°$ and $\angle 7=150°$.


From the figure, $\angle 1$ and $\angle 7$ form alternate exterior angles and hence they are equal.

So, (2x + 30)° = 150°
$\Rightarrow 2x=150°-30°=120°$
$\Rightarrow x=\frac{120°}{2}=60°$

Hence, $x=60°$.