Answer:
The measure of angle K is 48°.
Step-by-step explanation:
Given information: \(\triangle JKL \sim \triangle PQR\), ∠P = 52° , ∠Q = 48° , and ∠R = 80°.
The corresponding angles of two similar triangles are congruent.
It is given that \(\triangle JKL \sim \triangle PQR\), So
\(\angle J=\angle P\)
\(\angle K=\angle Q\)
\(\angle L=\angle R\)
We have to find the measure of angle K.
\(\angle K=\angle Q=48^{\circ}\)
Therefore the measure of angle K is 48°.
