Answer:
angle K = 32°
Explanation:
angles in triangle add up to 180°.
angle H is 90° because triangle KJH is in a semicircle (JK is diameter).
so angle J + angle K must add up to 180° - 90° = 90°.
we have (5x - 2) + (2x + 8) = 90
5x + 2x - 2 + 8 = 90
7x + 6 = 90
7x = 90 - 6 = 84
x = 12.
so angle K = (2x + 8)° = (2(12) + 8)° = (24 + 8)° = 32°.