Answer:
∠ MDF = 39°
Step-by-step explanation:
∠ MDH = 90°, so
∠ MDF + ∠ FDH = 90 , substitute values
2r + 59 + 6r + 111 = 90 , that is
8r + 170 = 90 ( subtract 170 from both sides )
8r = - 80 ( divide both sides by 8 )
r = - 10
Thus
∠ MDF = 2r + 59 = 2(- 10) + 59 = - 20 + 59 = 39°
