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In the Below Fig, Acb is a Line Such that ∠Dca = 5x and ∠Dcb = 4x. Find the Value of X. - Mathematics

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

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Solution

Here, `∠`ACD + `∠`BCD = 180°

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

`∠`ACD = 5x, `∠`BCD = 4x

⇒  5x + 4x = 180°

⇒  9x = 180°

⇒ x = 20°

∴x = 20°

Concept: Pairs of Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.2 | Q 11 | Page 15

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