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Why does a rectangle have 360 degrees?

Why does a rectangle have 360 degrees?

Proof: This follows directly from the Quadrilateral Sum Conjecture which says that the sum of angles in any convex quadrilateral is equal to 360 degrees. Since a rectangle has four angles of equal measure, the measure of each must be 360/4, or 90 degrees.

Is a rectangle a 180?

As with any crossed quadrilateral, the sum of its interior angles is 720°, allowing for internal angles to appear on the outside and exceed 180°. A rectangle and a crossed rectangle are quadrilaterals with the following properties in common: Opposite sides are equal in length.

Do rectangle have right angles?

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.

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Can a triangle be 360 degrees?

Sum of exterior angles of a Triangle is 360 degree.

Is a triangle 180?

The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well. Half of 360° is 180°.

Does a triangle make 360 degrees?

Since the triangles are congruent each triangle has half as many degrees, namely 180. But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 – 180 = 180 degrees.

Can a triangle have more than 180 degrees?

Yes. The interior angles of a triangle add to 180 degrees only if the triangle is Euclidean, that is, on a flat plane. If the triangle is on a sphere or other convex surface, then the sum of the angles is more than 180 degrees. For example in the triangle below, each angle is 90 degrees so the total is 270 degrees.