# Could a quadrilateral have obtuse angles?

**Asked by: Adrianna Gerlach I**

Score: 4.9/5 (49 votes)

**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.