Question

Find angle x.

• A. $x={60}^o$
• B. $x={80}^o$
• C. $x={120}^o$
• D. $x={40}^o$

Answer 1

The correct option is B

$x={80}^o$

$\angle DOC={60}^o$ (Vertically opposite angles)
$\angle FOE={40}^o$ (Vertically opposite angles)
$\angle DOC+\angle FOE+x={180}^o$ (Angles on a straight line)
${60}^o+{40}^o+x={180}^o$
$x={80}^o$