paulsonsavannah0
paulsonsavannah0 paulsonsavannah0
  • 23-01-2020
  • Mathematics
contestada

Find mDEC
A) 90
B) 95
C) 100
D) 120​

Find mDEC A 90 B 95 C 100D 120 class=

Respuesta :

marcthemathtutor
marcthemathtutor marcthemathtutor
  • 23-01-2020

Answer:

C) 100

Step-by-step explanation:

line AC intersects line DB,

hence ∠AEB and ∠DEC are opposite angles and thus

∠AEB = ∠DEC

5x-10 = 4x+12   (subtract 4x from both sides)

5x - 4x - 10 = 12

x - 10 = 12    (add 10 to both sides)

x = 12 + 10 = 22 degrees

∠DEC = 4x+12

= 4(22) + 12

= 88 + 12

= 100 degrees

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