Interior angles add up to 540 degrees
Exterior angles add up to 360 degrees
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
Interior angles add up to 540 degrees Exterior angles add up to 360 degrees
The measurement of an interior angle of a pentagon depends on whether the pentagon is a "regular pentagon". The sum of the measures of the interior angles of any polygon can be calculated using the formula (n-2)180, where n = the number of sides. If the pentagon is a regular pentagon, then all of the interior angles are congruent (i.e. : 144 degrees). Interior angle is the inside angle of any angular object. A triangle for instance has three outside angles and three interior angles, the angles of the points from the inside.
It is a 5 sided regular pentagon and each interior angle measures 108 degrees
The sum of the interior angles add up to 540 degrees. The sum of the exterior angles add up to 360 degrees.
the exterior angles of a pentagon add up to 540 degrees
For interior, the angle sum is 540 degrees, for exterior, the angle sum is 1260 degrees. * * * * * Partially correct! The sum of the exterior angles of any polygon is 360 degrees. The exterior angle is the supplement of the interior angle (180 - interior), NOT the reflex angle (360- interior). So the sum given 1260, which is based on the reflex angles is incorrect.
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!
The five interior angles of a regular pentagon are all 72º. For each angle to be closed, one of the arms must travel through 360 - 72 degrees. So the exterior angles of a regular pentagon are 360 - 72 = 288º
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
The total of the interior angles of a pentagon = 540 (in a regular pentagon, each interior angle is 108 degrees). The exterior angles would then be 5*(360-108) = 5*252 = 1260 degrees.
Mathematically - A regular pentagon has interior angles and sides equal. Bisecting each interior angle and extending a line segment to the center gives you five equal angles (360o/5=72o). Using the triangle formed by two line segements and a side of the pentagon we know the sum of interior angles of each triangle equals (180o) and we know one angle is 72o. The sum the other two interior angles of each triangle equals (180o-72o=108o) which equals each interior angle of the pentagon (equal to the sum of these two angles). Thus the exterior angle of each corner of the pentagon equals (360o-108o=252o). :-)
Each interior angle of a regular is 108 degrees which is an obtuse angle and each exterior angle is 72 degrees which is an acute angle
Interior angles add up to 540 degrees Exterior angles add up to 360 degrees
The sum of interior and exterior angle = 180. The interior angle of a regular pentagon = (n-2)x180 / n = (5-2)x180/5 = 108 The exterior angle = 180 - 108 = 72 The interior angle is 35 degrees greater than exterior angle.
The sum of the exterior angles of a pentagon add up to 360 degrees.
The measurement of an interior angle of a pentagon depends on whether the pentagon is a "regular pentagon". The sum of the measures of the interior angles of any polygon can be calculated using the formula (n-2)180, where n = the number of sides. If the pentagon is a regular pentagon, then all of the interior angles are congruent (i.e. : 144 degrees). Interior angle is the inside angle of any angular object. A triangle for instance has three outside angles and three interior angles, the angles of the points from the inside.