Respuesta :

jhonyy9
because there is wrote JKL and PQR so from this result that to angle J correspond angle P,to angle Q correspond angle K and to angle L correspond angle R 
so using these result that angle K has a measure of 48 degrees 

hope this helped 

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°.

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