Question

Assume AJKL = APQR. If m P= 52°,m2Q = 48°, and mR= 80°, what is
the measure of K?

Answer 1

measure of angle K is 48° or m∠K = 48°

Explanation:

Given:

ΔJKL= ΔPQR

m∠P = 52°

m∠Q = 48°

m∠R = 80°

When 2 triangles are equal or congruent to each other then their corresponding angles are equal or congruent by congruence property.

Hence ,

m∠P = m∠J

m∠Q = m∠K

m∠R = m∠L

But m∠Q = 48° hence m∠K = 48°

Hence measure of angle K is 48°