Question

Assume JKL PQR. If mP = 52 , mQ = 48 , and mR = 80 , what is the measure of K?

Answer 1

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 2

The measure of angle K is 48°.

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°.