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Complete. m∠3+m∠4=m∠?

Short Answer

Expert verified

The answer ism∠3+m∠4=m∠A

Step by step solution

01

Step 1. Observe the diagram.

From the given figure, it is observed that ∠DAL=m∠3and ∠DAE=m∠4.

02

Step 2. Description of step.

Since, ∠LAS=m∠Asuch that ∠LAS=∠DAL+∠DAE.

03

Step 3. Calculate m∠3m+∠4=m∠?

In order to find m∠3+m∠4, substitute m∠3for ∠DALand m∠4for ∠DAEinto ∠LAS=∠DAL+∠DAE.

∠LAS=∠DAL+∠DAE=m∠3+m∠4m∠A=m∠3+m∠4

Therefore, m∠3+m∠4=m∠A.

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