Question

what is the value of $angle mnl$?$\bigcirc$ 54$\bigcirc$ 126$\bigcirc$ 27$\bigcirc$ 63

Explanation:

Step1: Use rectangle diagonal property

In rectangle $JKLM$, diagonals bisect each other, so $JN = MN$. Thus, $\angle MJN = \angle JMN = 27^\circ$.

Step2: Apply exterior angle theorem

$\angle MNL$ is exterior to $\triangle JMN$, so $\angle MNL = \angle MJN + \angle JMN$.
$\angle MNL = 27^\circ + 27^\circ = 54^\circ$

Answer:

54