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Agata [3.3K]
2 years ago
5

I need help with this badly. It's geometry and angles.

Mathematics
2 answers:
lys-0071 [83]2 years ago
6 0

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = \frac{180-56}{2} = \frac{124}{2} = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

12345 [234]2 years ago
5 0
Ok done. Thank to me :>

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