Question

Can you guys help me​

Answer 1

The answer is 76.

Explanation:

≅ means to be equal to.

☆Angle DGE ≅ EGF.

Therefore, 3x + 8 = 5x - 12

☆Let's solve that equation.

`3x + 8 = 5x - 12 \\ ( - 5x \: \: \: \: \: \: \: = - 5x \: \: \: \: \: \: \: \: )/( - 2x + 8 = - 12) \\ ( \: \: \: \: \: \: \: \: - 8 = - 8)/( ( - 2x)/( - 2) = ( - 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