Question

Find the values of x in the following figure if l || m.

• A. $x={80}^{\circ }$
• B. $x={75}^{\circ }$
• C. $x={70}^{\circ }$
• D. $x={60}^{\circ }$

Answer 1

The correct option is C $x={70}^{\circ }$

$\text{Given l, m are parallel and t is the transversal line.}\therefore \text{Interior vertically opposite angle between lines l and t =}{110}^{\circ }\text{.}\therefore {110}^{\circ }+x={180}^{\circ }\text{[Supplementary angles]}x={180}^{\circ }-{110}^{\circ }={70}^{\circ }$