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. $x=60°$
• B. $x=50°$
• C. $x=70°$
• D. $x=40°$

Answer 1

The correct option is A $x=60°$

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, $x=60°$.