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प्रश्न
The value of (x) is ______.
विकल्प
2
3
1
none of these
MCQ
रिक्त स्थान भरें
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उत्तर
The value of (x) is 2.
Explanation:
In Δ AOB and Δ DOC
⇒ ∠AOB = ∠DOC (Vertically opposite angles are equal)
⇒ ∠BAO = ∠DCO (Corresponding angles are equal)
⇒ ∠ABO = ∠CDO (Corresponding angles since AB ∥ CD and BD is a transversal)
∴ Δ AOB ∼ Δ COD (By AAA postulates)
We know that,
Corresponding sides of similar triangles are proportional.
∴ ODOB = CDAB
⇒ `3/4 = (x+1)/(x+2)`
⇒ 3(x + 2) = 4(x + 1)
⇒ 3x + 6 = 4x + 4
⇒ 4x − 3x = 6 − 4
⇒ x = 2
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