Question

The following diagram shows parallel lines cut by a transversal.
The value of x is.

• A. 40${}^{\circ }$
• B. 50${}^{\circ }$
• C. 60${}^{\circ }$
• D. 90${}^{\circ }$

Answer 1

The correct option is C 60${}^{\circ }$

In the above figure, since the two lines are parallel and cut by a transversal, using the property of corresponding angles:

$\Rightarrow$ 2x - 60${}^{\circ }$ = x

$\Rightarrow$ x - 60${}^{\circ }$ = 0

$\Rightarrow$ x = 60${}^{\circ }$