Respuesta :

Answer:

M<FDE = 360 degrees

Step-by-step explanation:

120 degrees is supplementary to x which makes it 120. 120+120=240 degrees. angle x and angle d = 120+120 which makes it 360 degrees.

M<ADE however, is 110+120=280, 360-280=80 degrees which is 110+120+80=360 degrees. So, M<ADE is 360 degrees and it is equal to M<FDE which is also 360 degrees.

All of them are equal. The sum of the figure is 720 Degrees.

Answer:

∠FDE = 130°

Step-by-step explanation:

Since BC and DE are parallel lines, then

∠BDE = ∠ABC = 110° ( corresponding angles are congruent )

The sum of the angles round a point = 360°, thus

∠BDE + ∠BDF + ∠FDE = 360 , hence

110 + 120 + x = 360

230 + x = 360 ( subtract 230 from both sides )

x = 130

Hence x = ∠FDE = 130°

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