Question

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Answer 1

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Answer 2

Answer:

Step-by-step explanation:

To prove: ∠A+∠B+∠C+∠D+∠E=180°

Proof: From triangle AEJ, using the exterior angle property of the triangles, we have

∠y=∠A+∠E                                                                                              (1)

Also, form triangle DIB, using the same exterior angle property, we have

∠x=∠B+∠D                                                                                             (2)

In triangle ICJ, Sum of all the angles of a triangle is equal to 180°, therefore

∠x+∠y+∠z=180°

using (1) and (2),

⇒∠B+∠D+∠A+∠E+∠C=180°

⇒∠A+∠B+∠C+∠D+∠E=180°

Hence proved.