What is the maximum number of angles that a quadrilateral can have?

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What is the maximum number of angles that a quadrilateral can have?

Answer: The sum of the angles of a quadrilateral is 360°. Hence only 3 obtuse angles are possible to maintain this sum.

What is the maximum area of a quadrilateral with sides 1 4 7 8?

This is the only Feasible solution. = 4 + 14 = 18 square inch units. Answer. if original sides in inches are 1 4 7 8.

How many maximum number of angles of 90 degrees are possible in a quadrilateral?

As we know, an obtuse angle is an angle between 90 degrees to 180 degrees. The sum of the interior angles of a quadrilateral is equal to 360o. So all the angles can’t be obtuse since then the sum will more than 3600. Therefore a maximum of 3 obtuse angles that a quadrilateral have.

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Can Quadrilaterals have 4 obtuse angles?

A quadrilateral cannot have four obtuse angles. An obtuse angle is one which measures greater than 90 degrees and less than 180 degrees.

What is the maximum number of obtuse angles that a quadrilateral can have a 1 B 2 C 3 D?

A quadrilateral can have all four angles as obtuse.

How do you find the maximum area of a quadrilateral?

Here a, b, c, d are the sides of a quadrilateral, s is the semiperimeter of a quadrilateral and angles are two opposite angles. So, this formula is maximized only when opposite angles sum to pi(180) then we can use a simplified form of Bretschneider’s formula to get the (maximum) area K.

How many angles are in quadrilateral?

four angles
A quadrilateral is a polygon that has exactly four sides. (This also means that a quadrilateral has exactly four vertices, and exactly four angles.)

What are the 4 angles of a quadrilateral?

Name of Quadrilateral Description
Rectangle 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
Square 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.
Trapezoid Only one pair of opposite sides is parallel.
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Which Cannot be angles of quadrilateral?

Therefore, the angles are 30°,60°,90° &180°. But , 180 ° cannot be an angle of a quadrilateral .

Can a quadrilateral have an angle of more than 180 degrees?

In the class of simple quadrilaterals are concave quadrilaterals (such as the leftmost simple quadrilateral above) and convex quadrilaterals. A concave quadrilateral contains a reflex angle (an angle greater than 180°), whereas all of the angles in a convex quadrilateral are less than 180°.

What is a quadrilateral with 1 right angle?

. These types of quadrilaterals are said to be right quadrilateral and the quadrilateral with one right angle is called right quadrilateral. We can also take kites as an example for the right quadrilateral.