Question

In the given figure, if $AB\perp BC$, then x = ..........

• A. ${18}^{\circ }$
• B. ${22}^{\circ }$
• C. ${25}^{\circ }$
• D. ${32}^{\circ }$

Answer 1

Answer: (B)

${22}^{\circ }$

If two straight lines cut one another, they make the vertical angles equal to one another.
Here AB and CE are straight lines and crossing at o.
So, $\angle COB=\angle AOE=32$
GIven $\angle ABC=90$
So, in Triangle OBD,
$\angle D+\angle DAB+\angle ABC=180$
$\angle D+\angle DAB=90$
$x+14+x+32=90$
$2x=44$
$x=22$
Answer (B) $22$