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Andrei [34K]
3 years ago
5

Please help me

Mathematics
2 answers:
Shalnov [3]3 years ago
7 0

Answer:

D. 136°

Step-by-step explanation:

\because \overrightarrow{EC} \:bisects \: \angle BED. \\\therefore m\angle BEC = m\angle DEC\\\therefore (11x+2)\degree = (8x+20)\degree \\\therefore 11x + 2 = 8x + 20\\\therefore 11x - 8x = 20-2\\\therefore 3x = 18\\\therefore x = \frac{18}{3}\\\therefore x = 6\\\\\because m\angle BED= m\angle BEC + m\angle DEC\\\therefore m\angle BED= (11x+2)\degree + (8x+20)\degree\\\therefore m\angle BED= (19x+22)\degree \\\therefore m\angle BED= (19\times 6+22)\degree \\\therefore m\angle BED= (114+22)\degree \\\huge \purple {\boxed {\therefore m\angle BED= 136\degree}} \\

GrogVix [38]3 years ago
3 0

Answer:

19x+22

Step-by-step explanation:

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