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Why is the sum of the interior angles of a quadrilateral 360 degrees?

Anonymous

∙ 14y ago

Updated: 12/10/2022

This result follows from the theorem that the sum of the angles of a triangle is 180 degrees. Drawing a diagonal in the quadrilateral splits it into two triangles and the angles of the triangles together combine to form the angles of the quadrilateral.

Wiki User

∙ 14y ago

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Does a quadrIlateral have 360 degrees?

Yes the 4 interior angles of a quadrilateral add up to 360 degrees

What the interior angles of a quadrilateral?

The 4 interior angles of a 4 sided quadrilateral add up to 360 degrees.

What is the total number of degrees of the interior angles of quadrilateral?

360 degrees

How many degrees is a quadrilateral?

The 4 interior angles of a quadrilateral add up to 360 degrees

What polygon has an interior angle with a sum of exactly of 360 degrees?

The sum of the interior angles of a quadrilateral are 360 degrees

Related Questions

The sum of the interior angles of a quadrilateral is what?

The sum of the 4 interior angles of any quadrilateral add up to 360 degrees.

What is sum of interior and exterior angles of a concave quadrilateral?

-- The sum of exterior angles of any polygon is 360 degrees.-- The sum of interior angles of any quadrilateral, no matter what shape, is 360 degrees.-- 360 + 360 = 720 degrees.

Does a quadrIlateral have 360 degrees?

Yes the 4 interior angles of a quadrilateral add up to 360 degrees

What is the sum of the interior of any quadrilateral?

The sum of the interior angles of a quadrilateral is 360 degrees

What the interior angles of a quadrilateral?

The 4 interior angles of a 4 sided quadrilateral add up to 360 degrees.

Does a quadrilateral add up to 360 degrees?

All the interior angles of a quadrilateral add to 360 degrees, yes.

What is the total number of degrees of the interior angles of quadrilateral?

360 degrees

What is angle sum in a quadrilateral?

The sum of the interior angles of a quadrilateral is 360 degrees.

How many degrees is a quadrilateral?

The 4 interior angles of a quadrilateral add up to 360 degrees

What polygon has an interior angle with a sum of exactly of 360 degrees?

The sum of the interior angles of a quadrilateral are 360 degrees

Is the sum of the measures of the angles of a self-intersecting quadrilateral always 360 degrees?

The interior angles of a quadrilateral always add up to 360 degrees.

Is the sum of two measures of the angles in a quadrilateral equal to 360 degrees?

All four interior angles in a quadrilateral add up to 360 degrees

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