Q: Does quadrilateral have at least one pair of consecutive supplementary angle?

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The interior angle and the exterior angle are supplementary. That's why you learned about supplementary angles ... or at least they were presented in class ... before polygons.

Yes

Not sure what the question means. A triangle or quadrilateral may but need not contain an obtuse angle. A pentagon or any polygon with more sides must contain at least one obtuse angle.

Yes, a kite typically has at least one obtuse angle. A kite is a quadrilateral with two distinct pairs of consecutive, congruent sides. In a kite, the angles between the non-congruent sides (the angles opposite the longer and shorter sides) are usually not congruent. One of these angles can be obtuse, depending on the specific shape of the kite. However, it's important to note that a kite can also have acute angles, but it must have at least one obtuse angle.

Yes you can, as long as the four angles (obviously three of which will be less than 90 degrees) end up with a sum of 360 degrees, meaning there will have to be at least one obtuse angle in a non-square quadrilateral.

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The interior angle and the exterior angle are supplementary. That's why you learned about supplementary angles ... or at least they were presented in class ... before polygons.

All sides of a quadrilateral are consecutive, by definition.Not really. In the quadrilateral ABCD the sides AB and CD are opposite, but not consecutive. What is true for a quadrilateral is that any pair of sides that is opposite is not consecutive, and any pair that is not opposite is consecutive.The question asks what shape quadrilateral has 2 consecutive sides. If the question means "2 and only 2" consecutive sides the answer is that no such shape exists. If it means at least 2 consecutive sides then any quadrilateral fits the bill.If, as I suspect, the questioner meant 2 parallel sides, the answer is a trapezium.

Yes

It could be a kite, an arrowhead or an irregular quadrilateral with a right angle - which has no specific name.

a square

It depends on what you mean. If you are looking for ONLY one right angle, then the only "named" quadrilateral I can think of is a kite. If you are looking for a quadrilateral with AT LEAST one right angle, then there are squares, rectangles, trapezoids, and kites. Of course, there are quadrilaterals out there without specific names with only one right angle or at least one. Hope this helps you! :-)

Not sure what the question means. A triangle or quadrilateral may but need not contain an obtuse angle. A pentagon or any polygon with more sides must contain at least one obtuse angle.

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You need to know the lengths of the sides and at least one angle or the length of a diagonal.

To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.

Not possible... The internal angles of a quadrilateral always total 360. If you MUST have an angle of 90 degrees - the remaining angles must total 270. At least one of the remaining angles will always be obtuse.

Yes, a kite typically has at least one obtuse angle. A kite is a quadrilateral with two distinct pairs of consecutive, congruent sides. In a kite, the angles between the non-congruent sides (the angles opposite the longer and shorter sides) are usually not congruent. One of these angles can be obtuse, depending on the specific shape of the kite. However, it's important to note that a kite can also have acute angles, but it must have at least one obtuse angle.