Question

in the diagram below, quadrilateral ijkl is inscribed in circle m. find the measure of \\(\angle l\\).

Explanation:

Step1: Recall cyclic quadrilateral property

Opposite angles sum to $180^\circ$.

Step2: Identify opposite angle of $\angle L$

The angle opposite $\angle L$ is $\angle J$, $m\angle J=79^\circ$.

Step3: Calculate $m\angle L$

$m\angle L = 180^\circ - m\angle J$
$m\angle L = 180^\circ - 79^\circ$

Answer:

$101^\circ$