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Mathematics

The given figure shows a parallelogram. The value of x for which it will be a rhombus is :

  1. 35°

  2. 25°

  3. 15°

  4. 45°

The given figure shows a parallelogram. The value of x for which it will be a rhombus is : Special Types of Quadrilaterals, Concise Mathematics Solutions ICSE Class 8.

Quadrilaterals

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Answer

Using the property, a parallelogram whose diagonals intersect at 90° is a rhombus.

So, 3x + 15° = 90°

⇒ 3x = 90° - 15°

⇒ 3x = 75°

⇒ x = 75°3\dfrac{75°}{3}

⇒ x = 25°

Hence, option 2 is the correct option.

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