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

Explanation:

Step1: Identify congruent triangles

Triangles NPL and NPM are right - angled triangles with NP as a common side and PL = PM (marked with equal segments). So, $\triangle NPL\cong\triangle NPM$ by the Hypotenuse - Leg (HL) congruence criterion for right - angled triangles.

Step2: Find angle measure

Since $\triangle NPL\cong\triangle NPM$, $\angle PNL=\angle PNM$. In right - angled triangle NPM, $\angle PNM = 90^{\circ}-\angle NMP$. Given $\angle NMP = 47^{\circ}$, then $\angle PNM=90^{\circ}- 47^{\circ}=43^{\circ}$. So, $\angle PNL = 43^{\circ}$.

Answer:

$43^{\circ}$