Question attached WORTH A LOT OF POINTS IM GOING TO MARK BRAINLIEST MAKE SURE IT IS EASY TO UNDERSTAND WITH NO SYMBOLS Pls

60.4°

Step-by-step explanation:

DF is a line, which means ∠DEF = 180°. We also know that ∠DEF = ∠DEB + ∠BEG + ∠GEF. We already know three of these measures, so we can solve for the other:

∠DEF = ∠DEB + ∠BEG + ∠GEF

180 = 110.2 + ∠BEG + 25.6

∠BEG = 44.2°

We know that lines AC and DF are parallel, and since ∠ABE and ∠BEF are alternate interior angles, by definition, ∠ABE = ∠BEF.

∠BEF = ∠BEG + ∠GEF = 44.2 + 25.6 = 69.8°

Then, ∠ABE = ∠BEF = 69.8°.

Again, since AC is a line, ∠ABC = 180°. We also know that ∠ABC = ∠ABE + ∠EBG + ∠GBC. Just like before, we already know three of these angles, so we can solve for the other:

∠ABC = ∠ABE + ∠EBG + ∠GBC

180 = 69.8 + ∠EBG + 34.8

∠EBG = 75.4°

Finally, since EBG is a triangle, we know that its interior angles add up to 180:

∠BEG + ∠EBG + ∠BGE = 180

Plug in the values we know:

44.2 + 75.4 + x = 180

x = 60.4°

60.4°

Step-by-step explanation:

Angle x is the sum of 2 alternate angles CBG and FEG

Angle x = 34.8 + 25.6

= 60.4°

20

step-by-step explanation: