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I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.

For interior angles:

The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.

So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.

In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360

For exterior angles:

The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.

Q: How do you find the sum of the measures of the angles of a quadrilateral?

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360 degrees

The sum of angles in a quadrilateral is 360 degrees.

The sum of the interior angles is 360 Degrees or 2 Pi Radians.

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

The 4 interior angles add up to 360 degrees

Related questions

What is the sum of the measures of the angles of a convex quadrilateralwill this property hold if the quadrilateral is not convex?

360

A kite is a quadrilateral therefore the sum of its angles is 360 degrees.

No. Only the sum of the measures of the angles of a triangle equal to 180 degrees; in the case of a quadrilateral it amounts to 360 degrees.

360 degrees

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

The sum of angles in a quadrilateral is 360 degrees.

The sum of the interior angles is 360 Degrees or 2 Pi Radians.

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

360 degrees!

The 4 interior angles add up to 360 degrees

The sum of the measures of the interior angles of any quadrilateral is 360.(S-2)*180 equals the sum.