Question

ABCD is a parallelogram. Find $\angle$ ADC.

• A. ${95}^{\circ }$
• B. ${120}^{\circ }$
• C. ${115}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is C

${115}^{\circ }$

Given, ABCD is a paralleogram.
So, AB || DC and AD acts as a transversal.

So, $\angle DAB$ and $\angle ADC$ are co-interior angles which are supplementary.

So, $\angle DAB$ + $\angle ADC$ = ${180}^{\circ }$
$\Rightarrow \angle ADC$ = ${180}^{\circ }$ - $\angle DAB$
$\Rightarrow$ ${180}^{\circ }$ - ${65}^{\circ }$ = ${115}^{\circ }$

Hence, $\angle ADC$ = 115°