Question

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


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Answer 1

Answer:

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.

Answer 2

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.

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