amirrahgaylord amirrahgaylord
  • 19-07-2022
  • Mathematics
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If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

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devishri1977
devishri1977 devishri1977
  • 19-07-2022

Answer:

∠ABE = 33°

Step-by-step explanation:

Angle bisector:

        Angle bisector is a straight line that divides the angle into two congruent (equal) angles.

So, BE bisects the ∠ABD into two equal angles.

⇒∠ABE will be half of ∠ABD

∠ABD = ∠ABE + ∠BED

66°     = ∠ABE + ∠ABE

66      = 2∠ABE

∠ABE = 66/2

∠ABE = 33°

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