Study guides

☆☆

Q: Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

The exterior angles of every polygon sum to 360 degrees. The interior angles of every quadrilateral sum to 360 degrees.

The interior and exterior angles of a polygon are supplementary, that is sum to 180o. Thus: interior_angle + exterior_angle = 180o ⇒ interior_angle = 180o - exterior_angle ⇒ interior_angle = 180o - 45o = 135o.

1800 degrees

A decagon is a polygon with 10 sides. By using the interior and exterior postulates, you can find the angle measures, which happen to be 144 and 36 degrees respectively.

If it is a regular polygon then it will have 360/12 equals 30 sides

Related questions

The interior angle of a polygon and its adjacent exterior angle can never be complementary.

Very rarely.

Ah...

An interior or exterior angle of the polygon.

No, they are supplementary, not complementary.

In a polygon there are no such angles.

equal to 180°

The sum of an adjacent interior and its exterior angle will total to 360°. If the angles were to be equal, they would both have to be 180°. An angle of 180° is a straight line. A polygon may be composed of straight lines that intersect at vertices but a straight line has no vertex. That being the case, the answer to your question is "No".

Measure them with a protractor

With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle

It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line

Interior angles are angles formed by two adjacent sides on the inside of a polygon. An exterior angle is the supplement of the interior angle.

People also asked