Question

$ABCD$ is a rhombus. $\angle ABC={50}^o$, The measure of $\angle$ $ACD$ is ?

• A. ${65}^o$
• B. ${70}^o$
• C. ${50}^o$
• D. ${60}^o$

Answer 1

The correct option is A ${65}^o$

From figure, we have

$\angle ABC+\angle BCD={180}^o$
$\therefore \angle BCD={180}^o-{50}^o$
and $\angle BCD={130}^o$
Now,

$\angle ACD=\frac{1}{2}\angle BCD$
$or,\angle ACD=\frac{1}{2}\times {130}^o$
$So,\angle ACD={65}^o$