# Could a quadrilateral have obtuse angles?

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

## What Quadrilaterals can contain obtuse angles?

Yes, a quadrilateral can have obtuse angles. An example of this is called a parallelogram. A parallelogram is a quadrilateral with opposite sides that...

## How many obtuse angles can a quadrilateral have?

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.

## Can all the four angle of a quadrilateral be obtuse angle?

All the four angles of a quadrilateral cannot be obtuse angles. So, at least one angle should be acute angle. Hence, all the four angles of a quadrilateral cannot be obtuse angles.

## Can a quadrilateral have no obtuse angles explain?

It is possible for a quadrilateral to have no obtuse angles if all four angles are exactly 90∘ .

## How many obtuse angles can we have in a quadrilateral

41 related questions found

### Why can a quadrilateral not 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.

### How many angles are formed in a quadrilateral?

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

### Can three angles of a quadrilateral be obtuse justify?

A quadrilateral cannot have 3 obtuse angles, where an obtuse angle is an angle that has a measure that is greater than 90°.

### Can a quadrilateral have 4 acute angles?

In a quadrilateral you should know that the sum of all interior angles are “360” and using this you can find the number of acute angles in a quadrilateral. Here we have taken all four angles as just before the ninety degree and the result proves that four acute angles are not possible.

### Can a quadrilateral have 2 right angles and 2 obtuse angles?

Answer: For example take Rhombus, it is a quadrilateral which has congruent sides always but doesn't have always right angles. Notice that Trapezium has two acute angle and obtuse angles but not right angles.

### Can a quadrilateral have one reflex angle?

Answer: A dart (or arrowhead) is a concave quadrilateral with bilateral symmetry like a kite, but where one interior angle is reflex.

### Can a quadrilateral have exactly 2 right angles?

The quadrilateral that can have only two right angles is a trapezoid.

### Can a quadrilateral have no right angles?

What is a rhombus? A rhombus is a quadrilateral with 4 equal sides. A shape with four sides of equal length. The shape has two sets of parallel sides and does not have right angles.

### Does a rhombus have 4 right angles?

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles. Kites have two pairs of adjacent sides that are equal.

### Does a rhombus have obtuse angles?

∴ there are two acute angles (one in each pair) and two obtuse angles (one in each pair) present in a rhombus. Note: A rhombus is a four sided polygon which looks like a diamond shape having all of its four sides equal in length.

### What quadrilateral has opposite angles are congruent?

If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If a quadrilateral is a rectangle, then it is a parallelogram.

### Can all 4 angles of a rhombus be acute?

Explanation: One of the properties of a rhombus is that the opposite angles are equal. As a rhombus leans over more and more, two of the angles become more obtuse and the other two become more acute.. There are also 4 pairs of parallel lines in a rhombus.

### Can a parallelogram have four acute angles?

In a parallelogram, adjacent angles sum to 180°. ... Hence, 2 acute angles a parallelogram has. Except the case when parallelogram is a rectangle.

### What are 4 types of quadrilaterals?

What are the different types of quadrilaterals? There are 5 types of quadrilaterals – Rectangle, Square, Parallelogram, Trapezium or Trapezoid, and Rhombus.

### Can a quadrilateral have 3 congruent angles?

Quadrilaterals have 4 sides and 4 angles. The exterior angles of any convex polygon (ie no interior angle is less than 180 degrees) add up to 360 degrees ( 4 right angles). ... Therefore, if 3 internal angles are right angles, the 4th angle must also be a right angle. So no quadrilaterals have exactly 3 right angles.

### What is quadrilateral give an example?

A quadrilateral is a closed two-dimensional figure that has 4 sides, 4 angles, and 4 vertices. A few examples of quadrilaterals are square, rectangle and trapezium.

### How many angles does a quadrilateral have * 1 point?

Every quadrilateral has 4 sides, 4 vertices, and 4 angles. 4. The total measure of all the four interior angles of a quadrilateral is always equal to 360 degrees.

### How many triangles are there in a quadrilateral?

In a quadrilateral there are four sides. Number of triangles contained in a quadrilateral = 4 – 2 = 2.

### What quadrilateral has no parallel lines?

Now, we are familiar with the concept of a quadrilateral with no parallel sides. So, in conclusion, we can say that trapezium is a quadrilateral with no parallel sides. So, the correct answer is “trapezium”.

### How many diagonals are there in convex quadrilateral?

The two diagonals of a convex quadrilateral are the line segments that connect opposite vertices.