Question

the angles of a quadrilateral are in the ratio 4:7:15:10, find least angle

Answer 1

Given :

⬤ Angles of Quadrilateral are in the ratio 4:7:15:10 .

To Find :

⬤ The Least Number .

Solution :

Let :

• Four angles of Quadrilateral be 4x , 7x , 15x and 10x .

As we know that , Sum of all Angles of Quadrilateral is 180 degree . Hence ,

$\sf{4x+7x+15x+10x=180^{\circ}}$

36x = 180°

x = 180/36

x = 5

Therefore , The Value of x is 5 .

Hence ,

Angle One = 4x

= 4(5)

= 20

Angle Second = 7x

= 7(5)

= 35

Angle Three = 15x

= 15(5)

= 75

Angle Four = 10x

= 10(5)

= 50

Therefore , The Least Angle is 20° .

Answer 2

☆Answer☆

Given,

The angles of a Quadrilateral are in the ratio 4:7:15:10.

Let the angles of Quadrilateral be 4x, 7x, 15x and 10x.

Now,

Sum of angles of a Quadrilateral is 360°.

A/Q

4x+7x+15x+10x = 360

36x = 360

x = (360/36)

x = 10

We get the angles of Quadrilateral

4x = 40°

7x = 70°

15x = 150°

10x = 100°

Therefore, the least angles of a Quadrilateral is 40°.

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