Question

Please help me

If EC bisects BED, find m BED.
A. 128°
B. 130°
C. 134°
D. 136°

Answer 1

19x+22

Explanation:

Answer 2

D. 136°

Explanation:

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