Question

In the below fig, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.

Answer 1

Here, `∠`ACD + `∠`BCD = 180°

[Since `∠`ACD, `∠`BCD are linear pairs]

`∠`ACD = 5x, `∠`BCD = 4x

⇒  5x + 4x = 180°

⇒  9x = 180°

⇒ x = 20°

∴x = 20°