. The measure of an exterior angle of a regular polygon is 2t, and the

1.	. The measure of an exterior angle of a regular polygon is 2t, and the measure of an interior angle is 4the relationship between interior and exterior angles to find the measure of one interior and exterioraangleis 4. Usengleh The other two angles are equal. Find
Answer» I assume you mean the EXTERIOR ANGLE is 4x. Draw a polygon, any number of sides. NOW, extend one side, on the angle of interest Note how when you extend that side, you get a straight line. O.K., now how many degrees are there in a straight line??? Label the interior angle 2x, and the exterior angle 4x. Together, they add up to 6x, and must equal the number of degrees in a straight line. SO: 2x + 4x = 180

. The measure of an exterior angle of a regular polygon is 2t, and the measure of an interior angle is 4the relationship between interior and exterior angles to find the measure of one interior and exterioraangleis 4. Usengleh The other two angles are equal. Find

Answer»

I assume you mean the EXTERIOR ANGLE is 4x.

Draw a polygon, any number of sides.

NOW, extend one side, on the angle of interest

Note how when you extend that side, you get a straight line.

O.K., now how many degrees are there in a straight line???

Label the interior angle 2x, and the exterior angle 4x.

Together, they add up to 6x, and must equal the number of degrees in a straight line.

SO: 2x + 4x = 180