Question

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

Answer 1

∠ABE = 33°

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°