Question

In fig. Find the sum of the angles EAB, ABC, BCD, CDE and DEA.

Answer 1

Answer:

540°

Step-by-step explanation:

The pentagon ABCDE  is made from three triangles, ΔABE, ΔEBD and ΔDBC.

We know that the sum of all interior angles of a triangle is 180°.

Since the pentagon has 3 triangles,

the sum of all its angles = 3 * 180° = 540°

So,  ∠EAB + ∠ABC + ∠BCD + ∠CDE + ∠DEA = 540°