Question

$\angle AEC$ and $\angle CED$ are supplementary angles. If $\angle CED$ is equal to ${62}^{\circ }$ ,what is the measure of $\angle AEC$?

• A. ${28}^{\circ }$
• B. ${150}^{\circ }$
• C. ${118}^{\circ }$
• D. ${124}^{\circ }$

Answer 1

The correct option is C ${118}^{\circ }$

Two angles are supplementary if they add up to ${180}^{\circ }$ .
As given, $\angle AEC$ and $\angle CED$ are supplementary angles,

So,

$\angle AEC+\angle CED={180}^{\circ }$
$\Rightarrow \angle AEC+{62}^{\circ }={180}^{\circ }$

$\Rightarrow \angle AEC={180}^{\circ }-{62}^{\circ }$
$\Rightarrow \angle AEC={118}^{\circ }$

Hence, the required answer is ${118}^{\circ }$.