Question

In the given figure, If l || m, and n is a transversal then find the value of x + y + z.

• A. ${180}^{\circ }$
• B. ${240}^{\circ }$
• C. ${250}^{\circ }$
• D. ${260}^{\circ }$

Answer 1

The correct option is B ${240}^{\circ }$

Since lines l and m are parallel lines and n is a transversal.
$x+{60}^{\circ }={180}^{\circ }$ [Linear pair]
$x={180}^{\circ }-{60}^{\circ }$
$x={120}^{\circ }$

$y={60}^{\circ }$ [corresponding angles]

z = y [vertically opposite angles]
$z={60}^{\circ }$

$x+y+z={120}^{\circ }+{60}^{\circ }+{60}^{\circ }$

$x+y+z={240}^{\circ }$