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24-02-2019
Mathematics

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24-02-2019

Answer:

m∠ABD = 20°

Step-by-step explanation:

If m∠ABC = 40° and BD is the bisector of ∠ABC, then

(1) m∠ABD = m∠DBC

(2) m∠ABC = m∠ABD + m∠DBC

From (1) and (2) we have:

m∠ABC = 2m∠ABD

Therefore

2m∠ABD = 40° divide both sides by 2

m∠ABD = 20°

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