Question

In the given figure, if $\angle ABD={120}^{\circ }$ and $\angle ACE={135}^{\circ },$ then $x^{\circ }$ = ___.

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

Answer 1

The correct option is C

${75}^{\circ }$

(i) $\angle ABC={180}^{\circ }-{120}^{\circ }$.......(linear pair)

$={60}^{\circ }$

(ii) $x^{\circ }+{60}^{\circ }={135}^{\circ }$........(exterior angle)

$x={75}^{\circ }$