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Question
In the below fig, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.
Solution
Here, `∠`ACD + `∠`BCD = 180°
[Since `∠`ACD, `∠`BCD are linear pairs]
`∠`ACD = 5x, `∠`BCD = 4x
⇒ 5x + 4x = 180°
⇒ 9x = 180°
⇒ x = 20°
∴x = 20°
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