If BE−→−BE→ bisects ∠ABD and m∠ABE = 28°, find m∠ABD.

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Today at 12:34 PM
Mathematics

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If BE−→−BE→ bisects ∠ABD and m∠ABE = 28°, find m∠ABD.

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eudora eudora · Answer 1 · 2025-04-03T12:39:36-04:00

eudora eudora

Today at 12:39 PM

Answer:

∠ABD = 56°

Step-by-step explanation:

In the figure attached BE bisects ∠ABD

That means ∠ABE ≅ ∠EBD ≅ 280

Now we have to calculate measure of ∠ABD

So ∠ABD = 2 × ∠ABE = 2 × 28 = 56°

Therefore, ∠ABD = 56° will be the answer.

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abidemiokin abidemiokin · Answer 2 · 2025-04-03T12:38:52-04:00

abidemiokin abidemiokin

Today at 12:38 PM

The measure of angle ABD is 56 degrees

Bisection of angles

Angles bisected are divided into two equal parts. Is BE→ bisects ∠ABD, then;

<ABE = <EBD

<ABD = <ABE + <EBD

Substitute

<ABD = <ABE + >ABE

Since <ABE = 28 degrees, hence'

<ABD = 28 + 28

<ABD = 56degrees

Hence the measure of angle ABD is 56 degrees

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