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Two opposite angles of a parallelogram are (2x + 60)° and (4x)°. Find the value of x. - Geometry Mathematics 2

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प्रश्न

Two opposite angles of a parallelogram are (2x + 60)° and (4x)°. Find the value of x.

योग

उत्तर

Opposite angles of a parallelogram are (2x + 60)° and (4x).

We already know that the opposite angles of a parallelogram are equal.

∴ 2x + 60° = 4x

⇒ 4x – 2x = 60°

⇒ 2x = 60°

⇒ x = 30°

Hence, the value of x is 30°.

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Converse: If a Pair of Opposite Angles of a Quadrilateral is Supplementary, Then the Quadrilateral is Cyclic.
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