the formula for the total of all the angle measures is (n-2)(180)
n meaning the number of sides
so then you do this-
(5-2)180=130+94+109+112+x
3(180)=445+x
540=445+x
95=x
Pentagon = 5 sides.For regular pentagon: 360/5 = 72180 - 72 = 108 degrees at each interior angle.For non-regular pentagons, each interior angle may differ but the sum of the interior angles will be the same as a regular pentagon = 5 x 108 = 540 degrees.
If the pentagon is regular all you need do is divide 540 by 5. If it isn't regular, we can't help.
108o
Each interior angle of a regular pentagon is 108 degrees ie all five of them are larger than a right angle. If the pentagon is convex, at least four of the angles must be greater than 90 degrees.
measure of exterior angle of triangle is equal to sum of interior angles. for eg. In triangle ABC, angle C is exterior angle angle A and angle B are interior angles so, C=A+B
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.
If it's a regular 5 sided pentagon then each interior angle will measure 108 degrees
5 interior angles
To the nearest tenth, the interior angle of a regular pentagon is 108.0o In a regular pentagon, the sum of the interior angles is (5 - 2) x 1800 = 3 x 1800 = 540o In a regular pentagon, the interior angles are all the same size and are 5400 ÷ 5 = 108o which to the nearest tenth is 108.0o
Each interior angle of a pentagon is 108 degrees. 108 degrees
If it is a regular 5 sided pentagon then each interior angle is 108 degrees
Interior angles are 108 degrees.
The 5 interior angles of a pentagon add up to 540 degrees
If it is a regular 5 sided pentagon then each interior angle is 108 degrees
180 degree( 5-2) is the sum of the interior angles. Now divide this by 5 since it is regular and that tells us all the angles have the same measure.
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). :-)
Pentagon = 5 sides.For regular pentagon: 360/5 = 72180 - 72 = 108 degrees at each interior angle.For non-regular pentagons, each interior angle may differ but the sum of the interior angles will be the same as a regular pentagon = 5 x 108 = 540 degrees.