Question

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6 .Find all the angles .

Answer 1

Answer:

3x=60

4x=80

5x=100

6x=120

Step-by-step explanation:

let one angel is x

Ratio is 3:4:5:6

angels are 3x,4x,5x and 6x

total degree of quadilateral is 360°

A.T.Q

360°=3x+4x+5x+6x

360°=18x

x=360÷18

x=20°

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Answer 2

Given :

⬤ Angles of Quadrilateral are in ratio 3:4:5:6 .

To Find :

⬤ All the Angles .

Solution :

Let :

• Four angles of quadrilateral be 3x , 4x , 5x and 6x .

Now :

As we know that , Sum of angles of quadrilateral is 360° . Hence,

$\sf{3x+4x+5x+6x=360^{\circ}}$

18x = 360°

x = 360/18

x = 20

Therefore , The Value of x is 20 .

So :

Angle 1 = 3x

= 3(20)

= 60°

Angle 2 = 4x

= 4(20)

= 80°

Angle 3 = 5x

= 5(20)

= 100°

Angle 4 = 6x

= 6(20)

= 120°

Hence , The Angles of Quadrilateral are 60° , 80° , 100° and 120° .