Answer:
measure of angle K is 48° or m∠K = 48°
Step-by-step 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°
8 675/1000
8 27/40
hope this helps
If the two angles form a linear pair, the sum of the angles is 180 degrees.
If the small angle is one-third of the other, then the total is 1+1/3=4/3 of the larger angle.
By proportion,
L+L/3=4L/3=180
L=180*3/4=135 degrees
Smaller angle = L/3=45 degrees
Check: L+L/3=135+45=180 degrees, ok