questions on quadrilaterals class 9 angle sum property theorem
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Answer:
Fill in the blanks: ...In the adjoining figure, ABCD is a quadrilateral. ...Prove that the sum of the angles of a quadrilateral is 360°.The three angles of a quadrilateral are 76°, 54° and 108°. ...The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. ...A quadrilateral has three acute angles, each measuring 75°.
Answer:
Before talking about the quadrilaterals angle sum property, let us recall what angles and quadrilateral is. The angle is formed when two line segment joins at a single point. An angle is measured in degrees (°). Quadrilateral angles are the angles formed inside the shape of a quadrilateral. The quadrilateral is four-sided polygon which can have or not have equal sides. It is a closed figure in two-dimension and has non-curved sides. 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. In this article, w will learn the rules of angle sum property.
Quadrilateral Area Of Quadrilateral
Construction Of Quadrilaterals Types Of Quadrilaterals
Angle Sum Property of a Quadrilateral
According to the angle sum property of a Quadrilateral, the sum of all the four interior angles is 360 degrees.
Quadrilateral: Angle Sum Property