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