what is the relationship between interior and exterior angle pairs?
313523
Relationship of Exterior / Interior Angles of a Polygon The interior angle is always supplementary to an exterior angle at that vertex.
388303
All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
174715
Polygons - Quadrilaterals. So, the sum of the interior angles of a quadrilateral is 360 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 360 degrees (from above)...
670176
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
164921
The interior angles are always supplementary to the exterior angles, that is the two angles add up to 180 degrees. So in an equilateral pentagon 360/5 = 72 degrees, and 180–72 = 108 degrees. So each interior angle in an equiangular pentagon is 108 degrees.
441735
['Complementary Angles.', 'Supplementary Angles.', 'Adjacent Angles.', 'Linear Pair.', 'Vertical Angles.']
1361794
The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°.
1136720
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
4809
An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. The measure of an interior angle is the average of the measures of the two arcs that are cut out of the circle by those intersecting lines.
216693
Angles 2 and 7 above, as well as angles 3 and 6 are examples of alternate interior angles. Similarly, we also have alternate exterior angles that are located outside of the two intersected lines and on opposite sides of the transversal. An example of this relationship would be angles 1 and 8, as well as angles 4 and 5.
748060
To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.
239633
Alternate exterior angles are angles that are on opposite sides of the transversal and outside the two lines. If the two lines are parallel, then the theorem tells you that the alternate exterior angles are congruent to each other.
695625
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent . So, in the figure below, if k∥l , then ∠2≅∠8 and ∠3≅∠5 . Proof.
832945
Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The theorem says that when the lines are parallel, that the alternate interior angles are equal.
879859
Corresponding angles are equal. ... d and f are interior angles. These add up to 180 degrees (e and c are also interior). Any two angles that add up to 180 degrees are known as supplementary angles.
1361379
Lines a and b are parallel to each other! ... The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
599613
The angles on the inside are called Interior angles. The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.