Question

attending to precision use the diagram to complete the statement.
$m\angle lns = \square^\circ$

Explanation:

Step1: Identify triangle angle sum rule

In $\triangle LSM$, sum of angles is $180^\circ$.

Step2: Calculate $\angle L$

$\angle L = 180^\circ - 44.5^\circ - 90^\circ = 45.5^\circ$

Step3: Identify vertical angle

$\angle MNS = \angle QNR = 61^\circ$

Step4: Calculate $\angle LNS$ using linear pair

$\angle LNS = 180^\circ - 61^\circ = 119^\circ$

Answer:

$119$