# If Angles of Quadrilateral Are in the Ratio 4 : 5 : 3 : 6 ; Find Each Angle of the Quadrilateral. - Mathematics

Sum

If angles of quadrilateral are in the ratio 4 : 5 : 3 : 6 ; find each angle of the quadrilateral.

#### Solution

Let the angles of the quadrilateral be 4x, 5x, 3x and 6x.

∴ 4x + 5x + 3x + 6x = 360°

18x = 360°

x = (360°)/18 = 20°

∴ First angle = 4x = 4 × 20° = 180°

Second angle = 5x = 5 × 20° = 100°

Third angle = 3x = 3 × 20° = 60°

Fourth angle = 6x = 6 × 20° = 120°

Concept: Concept of Polygons - Side, Vertex, Adjacent Sides, Adjacent Vertices and Diagonal
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#### APPEARS IN

Selina Class 6 Mathematics
Chapter 28 Polygons
Exercise 28 (A) | Q 7