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Question
In the given figure, the value of (x) is ______.
Options
15
30
36
40
MCQ
Fill in the Blanks
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Solution
In the given figure, the value of (x) is 30.
Explanation:
In Δ AOB and Δ DOC
⇒ ∠AOB = ∠DOC (Vertically opposite angles are equal)
⇒ ∠BAO = ∠DCO (Alternate angles are equal)
⇒ ∠ABO = ∠CDO (Alternate angles are equal)
∴ Δ AOB ∼ Δ COD (By AAA postulate)
We know that,
Corresponding sides of similar triangles are proportional.
∴ `(AO)/(CO) = (OB)/(OD)`
⇒ `18/12 = x/20`
⇒ x = `18/12 × 20`
⇒ x = `360/12`
⇒x = 30
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