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2 years ago

If BE−→− bisects ∠ABD and m∠ABD = 66°, find m∠ABE.

Mathematics

1 answer:

Montano1993 [528]2 years ago

4 0

Answer:

∠ABE = 33°

Step-by-step explanation:

<h3>Angle bisector:</h3>

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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