What is m cgd = 4x + 2, m dge = 3x - 5, m egf = 2x + 10

m∠ CGD = 22°

Step-by-step explanation:

In the figure attached, m∠CGD = 4x + 2, m∠DGE = 3x - 5 and ,m∠ EGF = 2x + 10

Now it is given in figure, m∠DGE ≅ m∠EGF

Now we equate the values of angles

3x - 5 = 2x + 10

3x - 2x = 10 - 5

x = 5

∠CGD = 4x + 2

for x = 15

∠CGD = 4×15 + 2

           = 60 + 2

           = 62°

Therefore, m∠CGD = 62° is the answer.