What is the sum of the measures of the angels of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)
Answers
Answer:
Step-by-step explanation:
The sum of the measures of the angles of a convex quadrilateral is always 360° as a convex quadrilateral is made up of two triangles and has four sides.
If we will draw a convex quadrilateral, two triangles will be made. Therefore, the sum of all the interior angles of the quadrilateral will be the same as the sum of all the interior angles of these two triangles i.e.,
= 180º + 180º
= 360º
This property also holds true for the quadrilateral which is not convex. This is so, because any quadrilateral can be divided into two triangles, that will also have four sides and the sum of all the interior angles of this quadrilateral will also be 180º + 180º = 360º
Answer:
Step-by-step explanation:
The sum of the measures of the angles of a convex quadrilateral is always 360° as a convex quadrilateral is made up of two triangles and has four sides.
If we will draw a convex quadrilateral, two triangles will be made. Therefore, the sum of all the interior angles of the quadrilateral will be the same as the sum of all the interior angles of these two triangles i.e.,
= 180º + 180º
= 360º
This property also holds true for the quadrilateral which is not convex. This is so, because any quadrilateral can be divided into two triangles, that will also have four sides and the sum of all the interior angles of this quadrilateral will also be 180º + 180º = 360º