Math, asked by patilsejal511, 2 months ago

Prove that the sum of all the angles of a quadrilateral is 360 degree

Answers

Answered by ambreen31
1

Answer:

Join AC. We know that the sum of the angles of a triangle is 180°. ⇒ ∠A + ∠B + ∠C + ∠D = 360° [using (i) and (ii)]. Hence, the sum of all the four angles of a quadrilateral is 360°

Attachments:
Answered by shijisijeesh1983
1

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°. Angle sum is one of the properties of quadrilaterals.

PLS MARK ME BRAINLIEST.

Similar questions