Question

The value of x is ______.

विकल्प

• 2

• 5

• 10

• 3

Answer 1

The value of x is 5.

Explanation:

∠ABO = 3x + 4

∠DCO = 5x – 6

And AB = AD, DC = CB

⇒ ∠ABO = ∠DCO   ...(Vertically opposite angles or base angles of congruent triangles)

So, set the angles equal:

3x + 4 = 5x – 6

Step 1: Solve the equation

3x + 4 = 5x – 6

Bring all terms to one side:

4 + 6 = 5x – 3x

10 = 2x

x = 5