Question

angle m has a measure of 47°. what is the measure of angle pnl? 43° 47° 86° 94°

Explanation:

Step1: Identify congruent triangles

$\triangle LPN \cong \triangle MPN$ (SSS: $LN=MN$, $LP=MP$, $NP=NP$)

Step2: Find $\angle L$

$\angle L = \angle M = 47^\circ$ (corresponding parts of congruent triangles)

Step3: Calculate $\angle PNL$

In right $\triangle LPN$, $\angle LPN = 90^\circ$. Sum of angles in a triangle is $180^\circ$.
$\angle PNL = 180^\circ - 90^\circ - 47^\circ = 43^\circ$

Answer:

43°