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  • What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

Q3. What is the sum of the measures of the angles of a convex quadrilateral? Will this property
hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

Answers (1)

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The sum of the measures of the angles of a convex quadrilateral is 360\degree.A convex quadrilateral is made of two triangles and sum of angles of a triangle is 180\degreeHence,sum of angles of two triangles is 360\degree which is also sum of angles of a quadrilateral.

Here, as we can see this quadrilateral has two triangles and sum of angles of these triangles is 180\degree+ 180\degree=360\degree= sum of all angles of a quadrilateral.

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seema garhwal

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