Question

Line AB || CD and transversal XY meets AB at M and CD at N. If $\angle AMX=x\text{and}\angle CNX=2x-60$, then $x=$ .

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

Answer 1

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

From the given data,

Since the two lines are parallel and cut by a transversal, using the property of corresponding angles:

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

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

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