Question

KLMN is a parallelogram and K $=60$, then M and N are respectively, equal to

• A. $60,120$
• B. $120,60$
• C. $60,60$
• D. $150$

Answer 1

Answer: (A)

Given, $K={60}^o$
Since, Opposite angles of a parallelogram are equal.
$\therefore \angle K=\angle M={60}^o$
and
Consecutive angles of a parallelogram are supplementary
$\therefore \angle k+\angle N={180}^o$
$\Rightarrow {60}^o+\angle N={180}^o$
$\Rightarrow \angle N={120}^o$
$\therefore \angle M={60}^{o}and\angle N={120}^o$
Option A is correct.