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How do you find exterior angles of a quadrilateral?

Anonymous

∙ 11y ago

Updated: 12/18/2022

Exterior angles of a quadriltaeral add up to 1080° , each exterior angle is equal to the interior angle subtracted from 360°. The formula for checking sums of interior angles of any multilateral figure is (n-2)*180°, hence a quadilateral has 4 sides (n) (4-2)*180°=360°

Wiki User

∙ 11y ago

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

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 - 360For 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.

Does a quadrilateral's angles have to add up to 360?

I don't know if you'd say they "have to", but they always do. The interior angles do, and so do the exterior angles.

Is a concave quadrilateral less than 180 degrees?

The sum of the interior angles of a quadrilateral is 360 degrees (not 180). The sum of the exterior angles is also 360 degrees. Whether the quadrilateral is convex or concave is not relevant.

How many angles does a trapazoid have?

Four interior ones and four exterior ones ... just like any other quadrilateral.

What you can find about the angles of a kite?

Kite is a quadrilateral in which 2 pairs of opposite angles are equal .

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