Respuesta :
We have seen in the Triangle Sum Conjecture that thesum of the angles in any triangle is 180 degrees. TheQuadrilateral Sum Conjecture tells us the sum of theangles in any convex quadrilateral is 360 degrees. Remember that a polygon is convex if each of its interior angles is less that 180 degree.
The sum of all internal angle of a quadrilateral is 360°
Find:
What is the sum of all internal angle of a quadrilateral
Computation:
A quadrilateral = Sum of two triangle
So,
Sum of all internal angle of a quadrilateral = Sum of two internal angles of triangle
Sum of all internal angle of a quadrilateral = 180 + 180
Sum of all internal angle of a quadrilateral = 360°
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