looking at the diagram, we can see that
Angle KQR + angle PQK = angle PQR
We know that
angle PQK = 70 degrees
angle PQR = 21x + 13
angle KQR = 12x + 6
This means that
12x + 6 + 70 = 21x + 13
21x - 12x = 70 + 6 - 13
9x = 63
x = 63/9
x = 7
Angle KQR = 12 * 7 + 6 = 84 + 6
Angle KQR = 90 degrees