Question

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
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Answer 1

Answer:

Shape Sides Sum of Interior Angles

Triangle 3 180°

Quadrilateral 4 360°

Pentagon 5 540°

Hexagon 6 720°

Step-by-step explanation:

Shape Sides Sum of Interior Angles

Triangle 3 180°

Quadrilateral 4 360°

Pentagon 5 540°

Hexagon 6 720°

Answer 2

Question :-

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

given :-

• Angles of quadrilateral are in ratio

= 3:5:9:13

To find :-

• angles of quadrilateral ?

Solution :-

Let the angles of the quadrilateral be

3x, 5x, 9x and 13x.

∴ 3x + 5x + 9x + 13x = 360°

[Angle sum property of a quadrilateral]

⇒ 30x = 360°

⇒ x = $\dfrac{360°}{30}$

⇒x = 12°

∴

• 3x = 3 x 12° = 36°
• 5x = 5 x 12° = 60°
• 9x = 9 x 12° = 108°
• 13a = 13 x 12° = 156°

The required angles of the quadrilateral are 36°, 60°, 108° and 156°