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schepotkina [342]
3 years ago
6

In each diagram the line BD bisects angle ABC. Find the measure of angle ABC​

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

80°

Step-by-step explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

  • ∠ABD=∠CBD
  • 2x+20°= 4x
  • 2x=20°
  • x=10°

∠ABC= 2*4x= 8x= 80°

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