Sum Of Exterior Angles Of A Parallelogram
When we add up the Interior Angle and Exterior Angle we get a straight line 180.
Sum of exterior angles of a parallelogram. Hence it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary. The opposite angles of a parallelogram are equal c The diagonals of a parallelogram bisect each other d All the four sides of a rhombus are equal. The Exterior Angle is the angle between any side of a shape and a line extended from the next side.
The sum of the measures of the exterior angles of any polygon is a 90. Exterior Angles of Polygons. So the measure of the interior and exterior opposite to this angle 70 Adjacent angles of a parallelogram are supplementary.
Add to and opposite angles are congruent ie. To find the measure of a single exterior angle we simply divide the measure of sum of the exterior angles with the total number of sides. Putting the formula for sum of all interior angles in 1 we get Sum of exterior angles n x 180 n-2 x 180 n x 180 n x 180 2 x 180 180n 180n 360 360 Hence Sum of the exterior angles of any polygon is 360.
The angle sum of all interior angles of a convex polygon of sides 7 is a 180 o b 540 o c 630 o d 900 o 11. Starting with equation 1 Now substituting into equation 2 Finally because. In the figure above check regular.
Trapezium is a quadrilateral in which a pair of opposite sides is parallel. The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. Sum of all the four angles 360 degrees.
F Sum of all the exterior angles of a polygon is 360. Learn more about the parallelogram here. The sum of the measures of the exterior angles of a polygon is always 360.