Sum Of Interior Angles Of A Parallelogram
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If all 4 angles of a parallelogram are acute they are all less than 90o and.
Sum of interior angles of a parallelogram. A parallelogram however has some additional properties. Opposite angles are congruent as you drag any vertex in the parallelogram above note that the opposite angles are congruent equal in measure. The sum of the internal angles of any four sided figure regular or irregular is 360 degrees.
Therefore a d 180 similarly b c 180 c d 180 and a b 180. A parallelogram is a quadrilateral and so its internal angles must sum to 360o. But regular figures like square rectangle.
A parallelogram has four sides. But regular figures like square rectangle parallelogram or rhombus have an additional feature that the sum of any two adjacent angles will be 180 degrees. A parallelogram must have equivalent opposite interior angles.
All four sided figures have a sum of the interior angle measures equal to 360. And the adjacent interior angles must be supplementary angles sum of degrees. A parallelogram has four sides.
Angles of a parallelogram ab cd and ad are transversal. See interior angles of a polygon. Therefore the sum of any two adjacent angles of a parallelogram is equal to 180.
We know that interior angles on the same side are supplementary. Note for example that the angles abd and acd are always equal no matter what you do. All four sided figures have a sum of the interior angle measures equal to 360.
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