Question

Can you guys help me​

Answer 1

Answer:

The answer is 76.

Step-by-step explanation:

≅ means to be equal to.

☆Angle DGE ≅ EGF.

Therefore, 3x + 8 = 5x - 12

☆Let's solve that equation.

$3x + 8 = 5x - 12 \\ \frac{ - 5x \: \: \: \: \: \: \: = - 5x \: \: \: \: \: \: \: \: }{ - 2x + 8 = - 12} \\ \frac{ \: \: \: \: \: \: \: \: - 8 = - 8}{ \frac{ - 2x}{ - 2} = \frac{ - 20}{ - 2} } \\ x = 10$

We found the value of x which is 10.

☆Let's Now plug in.

$DGE \\ 3x + 8 \\ 3(10) + 8 \\ 30 + 8 \\ 38$

and the other:

$EGF \\ 5x - 12 \\ 5(10) - 12 \\ 50 - 12 \\ 38$

☆They asked for what the angle of DGF measured. So we would have to add both sides

$38 + 38 = 76$

☆The answer is 76