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

In each diagram the line BD bisects angle ABC. Find the measure of angle ABC​-example-1

1 Answer

4 votes

Answer:

80°

Explanation:

∠ABC= ∠ABD+∠CBD

as BD bisects ∠ABC, we have

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

∠ABC= 2*4x= 8x= 80°

User John Fox
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