Question

If BE−→ B E → bisects ∠ABD and m∠ABE = 62°, find m∠ABD

Answer 1

Given:
Line segment BE bisects ∠ABD as shown in the figure.

Therefore
m∠ABE = m∠DBE
and
m∠ABD = m∠ABE + m∠DBE

Because m∠ABE = 62°, therefore m∠DBE = 62°, so that
m∠ABD = 62° + 62° = 124°

Answer: m∠ABD = 124°

Answer 2

Based on the definition of an angle bisector, m∠ABD = 124°.

What is Angle Bisector?

An angle bisector is a line segment that divides an angle into two smaller angles that are congruent.

BE is an angle bisector, therefore:

m∠ABD = 2(m∠ABE)

m∠ABD = 2(62)

m∠ABD = 124°

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