Maths-

General

Easy

Question

# In Triangle ABC , AB= AC, and D is a point on AB. Such that AD=DC=BC. Show that

Hint:

### Use the property of isosceles triangle.

## The correct answer is: 36°

In ΔABC, we have

CD = BC (given)

Let (since angles opposite to the equal sides are always equal)

Since AB = AC,

In ΔABC,

(By angle sum property of the triangle)

Since AD = CD (given),

So,

Now,

(angle sum property)

Now, .

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