Question

Find the value of "x" in the following figure:

• A. ${70}^{\circ }$
• B. ${120}^{\circ }$
• C. ${20}^{\circ }$
• D. ${140}^{\circ }$

Answer 1

The correct option is A ${70}^{\circ }$


The given two angles are pair of corresponding angles.

As per corresponding angle theorem, we know:

$\angle 1=\angle 5$

Here, the values are given as:
$\angle 1=x+{50}^{\circ }\text{and}$
$\angle 5=2x-{20}^{\circ }$

So, equating the two values, we get:

$⟹x+{50}^{\circ }=2x-{20}^{\circ }$

$⟹{50}^{\circ }+{20}^{\circ }=2x-x$

$⟹{70}^{\circ }=x$

$\text{Therefore, the value of x is}{70}^{\circ }.$