Question

Two consecutive angles of a parallelogram are ( + 60)° (2 + 30)°. What special name can you give

to this parallelogram.​

Answer 1

Answer:

nhi pata ji nhi pata hamko ye nhi pata

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Two consecutive angles of a parallelogram are (x + 60°) and (2x + 30)°.

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asked Dec 22, 2017 in Class IX Maths by ashu Premium (930 points)

Two consecutive angles of a parallelogram are (x + 60°) and (2x + 30)°. what special name can you give to this parallelogram ?

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answered Dec 22, 2017 by saurav24 Expert (1.4k points)

We know that consecutive interior angles of a parallelogram are supplementary.

∴ (x + 60)° + (2x + 30)° = 180°

⇒ 3x° + 90° = 180°

⇒ 3x° = 90°

⇒ x° = 30°

Thus, two consecutive angles are (30 + 60)° , (2 × 30 + 30)° i.e. 90° and 90°.

Hence , the special name of the given parallelogram is ractangle.