The value of x and the angle m<N area 2 and 10 respectively.
From the given question, we have that the triangle MNO is similar to PQR, that is △MNO≅△PQR. This shows that:
m<N = m<Q
Equating both expressions
3x + 4 = 8x - 6
3x - 8x = -4 - 6
-5x = -10
x = -10/-5
x = 2
For the angle <N
m<N = 3x + 4
m<N = 3(2) + 4
m<N = 10
Hence the value of x and the angle m<N area 2 and 10 respectively.