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That is only true of triangles and is a consequence of the parallel postulate. In fact it is an alternative way of stating Euclid's parallel postulate.

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Q: Why the measure of exterior angles is equal to the sum of the measures of interior opposite angles?
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Related questions

The measure of an exterior angle of a triangle is equal to the sum of the measures of its?

two opposite interior angles.


What is the measure of the interior angle and the exterior angle of a regular polygon with 20 sides?

Each exterior angle measures 20 degrees Each interior angle measures 160 degrees


What is the measure of an interior angle of a regular dodecagon?

Each interior angle measures 150 degrees Each exterior angle measures 30 degrees


How many sides does the regular polygon have if each interior angle measure is four times the measure of each exterior angle measure?

It will have 10 sides and each interior angle measures 144 degrees while each exterior angle measures 36 degrees


Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?

exterior angle theorem


What is the measure of each exterior angle and each interior angle of nonagon?

Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees


What are the angle measures for a hexagon?

Interior Angle Degree measure = 120o Exterior Angle Dergree measure = 60o


What are The measure of an exterior angle of a triangle is greater than the sum of the measures of the two opposite interior angles?

It is an indication of an error, or the fact that the triangle is not in the Euclidean plane but on a convex surface.


What is the measure of an exterior angle of a regular polygon in which the sum of the interior angle measure is 5400?

It has 32 sides and each interior angle measures 168.75 degrees and so 180-168.75 = 11.25 degrees which is the measure of each exterior angle


What is the measure of an exterior angle of a regular polygon in which the interior angles measures 150 degrees?

30 degrees


An exterior angle of a regular polygon measures 30 degrees What is the measure of an interior angle?

150 degrees.


What is the measure of a regular 10-gon?

Each exterior angle measures 36 degrees Each interior angle measures 144 degrees