caelankenney1209
caelankenney1209 caelankenney1209
  • 01-10-2018
  • Mathematics
contestada

Line BD bisects angle ABC.
Line ABC = 8x.
Line ABD = 2x + 22.
Find line DBC

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JannetPalos
JannetPalos JannetPalos
  • 10-10-2018

Since BD bisects angle ABC,

∠ ABD = ∠ DBC

So, ∠ DBC = 2x + 22     (1)

Also, ∠ DBC = ∠ ABC - ∠ ABD.

= 8x - (2x + 22)

= 8x - 2x - 22

= 6x - 22     (2)

From (1) and (2),

2x + 22 = 6x - 22

2x - 6x = -22 - 22

- 4x = - 44

x = 11

∠ DBC =  2x + 22 = 2(11) + 22 = 44

Hence, ∠ DBC = 44°.


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