Math, asked by purveshbaghel0101, 5 months ago

Sum of all interior angles of a parallelogram is - 360°?​

Answers

Answered by Anonymous
6

Answer:

Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals. Therefore the 2 additional angles must match the 2 given in the question.

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Answered by shapeerahad2015
1

Answer:

Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals. Therefore the 2 additional angles must

It is a quadrilateral with two pairs of parallel, congruent sides. Its four interior angles add to 360° and any two adjacent angles are supplementary, meaning they add to 180° . Opposite (non-adjacent) angles are congruent. The two diagonals of a parallelogram bisect each other.Sep 8, 2018

Step-by-step explanation:

A quadrilateral is a polygon which has 4 vertices and 4 sides enclosing 4 angles and the sum of all the angles is 360°. When we draw a draw the diagonals to the quadrilateral, it forms two triangles. Both these triangles have an angle sum of 180°. Therefore, the total angle sum of the quadrilateral is 360°.

A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equal degrees. Also, the adjacent interior angles must be supplementary angles (sum of degrees)

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