The Quadrilateral Sum Conjecture tells us the sum of the angles in any convex quadrilateral is 360 degrees. Remember that a polygon is convex if each of its interior angles is less that 180 degree.

## What is the sum of 4 angles in a quadrilateral?

According to the angle sum property of a Quadrilateral, the sum of all the four interior angles is 360 degrees.

What is the sum of angles of a quadrilateral in degree?

360°
Theorem: The sum of all the four angles of a quadrilateral is 360°. Proof: Let ABCD be a quadrilateral. Join AC.

What is the sum of opposite angles in a quadrilateral?

The Sum of Opposite Angles of a Quadrilateral in a Circle is 180 Degrees. The sum of the opposite angles of a quadrilateral in a circle is 180°, as long as the quadrilateral does not cross itself.

### What is the sum of exterior angles of a quadrilateral?

When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of four exterior angle is always 360 degrees.

### Do angles in a quadrilateral equal 360?

Quadrilaterals are composed of two triangles. Seeing as we know the sum of the interior angles of a triangle is 180°, it follows that the sum of the interior angles of a quadrilateral is 360°.

What is the sum of exterior angle of a quadrilateral?

360 degrees
When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of four exterior angle is always 360 degrees.

What is the sum of interior angles of a quadrilateral?