Q1
The sum of interior angles of a quadrilateral is:
A360°
B180°
C540°
D270°
CBSEClass 8 (CBSE)MathematicsCh 4 · Topic 2
Angle Sum Property of Quadrilaterals
Learning that the sum of interior angles of any quadrilateral is constant.
Core concept
This angle sum property allows an unknown fourth angle to be calculated if the other three angles of a quadrilateral are known, simply by subtracting their sum from 360°. This principle also extends logically to other polygons: a pentagon (5 sides) can be divided into 3 triangles (540° total), a hexagon (6 sides) into 4 triangles (720° total), following the general formula (n-2)×180° for a polygon with n sides.
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• The sum of interior angles of any quadrilateral is always 360°.
• This can be proven by dividing a quadrilateral into two triangles (180°+180°=360°).
• The general formula for a polygon's angle sum is (n-2)×180°, where n is the number of sides.
• An unknown fourth angle can be found by subtracting the other three from 360°.