A quadrilateral has two of its adjacent angles as 80- and 100- - What type of quadrilateral can it be-

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Standard IX

Mathematics

Properties of Parallelogram

A quadrilater...

Question

A quadrilateral has two of its adjacent angles as $80^{\circ}$ and $100^{\circ}$ . What type of quadrilateral can it be?

Rectangle

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Square

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Parallelogram

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None of the above

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Solution

The correct option is C Parallelogram
In Square and Rectangle each angle is $90^{0}$ .

In a parallelogram, two adjacent angles have to be either equal or supplementary. The angles $80^{\circ}$ and $100^{\circ}$ are supplementary. So, the two angles belong to a parallelogram.

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A quadrilateral has two of its angles as $30^{\circ}$ and $40^{\circ}$ . What type of quadrilateral can it be?

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Figure

Complete each of the following, so as to make a true statement:
(i) A quadrilateral has ______sides.
(ii) A quadrilateral has ______angles.
(iii) A quadrilateral has ______vertices, no three of which are ______
(iv) A quadrilateral has ______diagonals.
(v) The number of pairs of adjacent angles of a quadrilateral is ______
(vi) The number of pairs of opposite angles of a quadrilateral is ______
(vii) The sum of the angles of a quadilateral is ______
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Q. Three angles of a quadrilateral are equal to

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A quadrilateral has two of its adjacent angles as 80∘ and 100∘. What type of quadrilateral can it be?

The correct option is C ParallelogramIn Square and Rectangle each angle is 900. In a parallelogram, two adjacent angles have to be either equal or supplementary. The angles 80∘ and 100∘ are supplementary. So, the two angles belong to a parallelogram.

A quadrilateral has two of its adjacent angles as $80^{\circ}$ and $100^{\circ}$ . What type of quadrilateral can it be?

The correct option is C Parallelogram
In Square and Rectangle each angle is $90^{0}$ .

In a parallelogram, two adjacent angles have to be either equal or supplementary. The angles $80^{\circ}$ and $100^{\circ}$ are supplementary. So, the two angles belong to a parallelogram.