Question

the angles of a quadrilateral are in the ratio 2:3:5:9.find all its angles​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given:

• The angles of a quadrilateral are in ratio 2 : 3 : 5 : 9.

To Find:

• What is the meaure all angles ?

Solution: Let x be the common in given ratios. Therefore,

➟ Angles are 2x , 3x , 5x , 9x

As we know that

★ Sum of all angles of Quadrilateral = 360° ★

$\implies{\rm }$ 2x + 3x + 5x + 9x = 360

$\implies{\rm }$ 19x = 360

$\implies{\rm }$ x = 360/19

$\implies{\rm }$ x = 18.95 (approx)

Now, Value of angles

➬ 2x = 2 $\times$ 18.95 = 37.9° cm

➬ 3x = 3 $\times$ 18.95 = 56.85° cm

➬ 5x = 5 $\times$ 18.95 = 94.75° cm

➬ 9x = 9 $\times$ 18.95 = 170.55° cm

__________________

• Sum of interior angles of a quadrilateral is 360°.

• A quadrilateral is a closed shape with 4 sides.

• Rhombus, Square, Parallelogram, Rectangle, Trapezium, Kite etc all are the types of a quadrilateral.