Question

the four angles of quadrilateral is given in ratio 2 3 4 2 find the angles​

Answer 1

Given :

⬤ Four Angles of Quadrilateral are in the Ratio 2:3:4:5 .

To Find :

⬤ All Angles of Quadrilateral .

Solution :

Let :

• First Angle of Quadrilateral be 2x.
• Second Angle of Quadrilateral be 3x .
• Third Angle of Quadrilateral be 4x .
• Fourth Angle of Quadrilateral be 2x .

Now :

As we know that , Sum of all Angles of Quadrilateral is 360 degree . Hence ,

$\bf[\:{2x+3x+4x+2x=360^{\circ}}\:]$

11x = 360°

x = 360/11

x = 32.72

Therefore , The Value of x is 32.72 .

Hence ,

First Angle = 2x

= 2(32.72)

= 65.44

Second Angle = 3x

= 3(32.72)

= 98.16

Third Angle = 4x

= 4(32.72)

= 130.88

Fourth Angle = 2x

= 2(32.72)

= 65.44

Answer 2

Step-by-step explanation:

Given:

2 + 3 + 4 + 2 =360

1 1 = 360

= 360/11

x=32.72

2  = 2*32.72 = 65.44

3  = 3*32.72 = 98.16

4 = 4*32.72 = 130.88

2 = 2*32.72 = 65.44

64.44+98.16+130.88+65.44 = 360

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