Question

(b) In the given figure, AB | CD . Find the value of x.
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Answer 1

$\dag\:\underline{\sf Question:-}$

In the given figure(refer the attachment, given along the question), AB || CD. Find the value of 'x'

$\dag\:\underline{\sf Answer:-}$

In ΔCNB,

∠CND = ∠BCD + ∠CBN -----(Remote angle theorem)

125° = x + 35°

125° - 35° = x

x = 90°

∴ Value of 'x' = 90°

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★ MORE TO KNOW:-

• What do you mean by 'Remote angle theorem'?

⇒  An exterior angle is formed by one side of a triangle and the extension of another side. Remote interior angles are the interior angles of a triangle that are not adjacent to a given angle.

• Remote angle theorem is also called 'Exterior angle theorem'

• Refer the attachment to understand Remote angle theorem.