Question

In the given figure, AB // DC. Δ EDC and Δ EBA are both isosceles triangles and ∠EDC = 31. Identify the measure of ∠AED

Answer 1

Step-by-step explanation:

Given: ABCD is a square and EDC is an equilateral triangle.

To prove: AE=BE and

Proof: In

AD=BD ( Side of same square)

∠ADE=∠BCE (Each angle is 150°)

DE=BE ( Side of same equilateral triangle)

So, by SAS congruence

Therefore, AE=BE (By CPCT )

Hence Proved

In

AD=DE

(If sides of a triangle are equal then their opposites angles are equal)

In

Angle sum property of triangle

Hence Proved