linds3401
linds3401 linds3401
  • 12-09-2019
  • Mathematics
contestada

BD bisects ABC. m ABD=2y m DBC=5y-12. What is ABC?

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sqdancefan
sqdancefan sqdancefan
  • 12-09-2019

Answer:

  16

Step-by-step explanation:

The two angle created by the bisector have equal measures, so ...

  m∠ABD = m∠DBC

  2y = 5y -12

  0 = 3y -12

  0 = y -4

  4 = y

  2y = 2·4 = 8

m∠ABC = 2×m∠ABD = 2×8

m∠ABC = 16

_____

We presume the angle measures are in degrees, though that is not specified by the problem given here. These numbers could all be radians, but 16 radians is more than a couple of times around the circle.

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