Question

Find the value of x.

• A. ${120}^o$
• B. ${60}^o$
• C. ${75}^o$
• D. ${90}^o$

Answer 1

The correct option is B

${60}^o$

Given : The lines are parallel.

$\angle$ OO'Q = $\angle$ PO'Y (vertically opposite angles)

$\Rightarrow$ $\angle$ OO'Q = ${120}^{\circ }$

$\angle$ OO'Q + x = ${180}^{\circ }$ (Co-interior angles)

$\Rightarrow {120}^{\circ }+x={180}^{\circ }$

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