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What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
What is the interior of a circle called?
the interior of a circle is called a cabret
What is the size of each exterior angle of a regular pentagon?
Interior angles are 108o. 360 - 108 = 252o for each exterior angle * * * * * Each exterior angle is 360/5 = 72 degrees, NOT 252. The 108 for the interior angle is correct, but to get from interior to exterior you subtract from 180, not 360!
What is the relationship between the interior and exterior angles in polygons?
An interior angle and the corresponding exterior angle add up to a straight angle. that is, they are supplementary.
How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?
Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12
