Question

The angle of a quadrilateral are in the ratio 11 is to 18 is to 21 is to
22 find all the angles of the quadrilateral​

Answer 1

Step-by-step explanation:

let the angels be 11x, 18x, 21x, 22x

and we know sum of angles in a quadrilateral =360

so 11x+18x+21x+22x= 360

72x=360

x=360/72

x= 60/12

x= 5

so angles are 11*5=55

18*5= 90

21x =21*5= 105

22x= 22*5= 110

Answer 2

Answer:

• The value of each angle of given quadrilateral is 55° , 90° , 105° & 110° respectively .

Step-by-step explanation:

According to the Question

It is given that ,

Angle of Quadrilateral are in the ratio of 11:18:21:22 respectively .

we have to calculate the angles of the quadrilateral .

Let the ratio of quadrilateral be 11x 18x 21x 22x

As we know that sum of all angles in a quadrilateral is 360° .

So we will put the given ratio in, we get

↠ 11x + 18x + 21x + 22x = 360°

↠ 72x = 360°

↠x = 360/72

↠ x = 5°

Here, the value of x is 5° .

Now, calculating the value of each angle

↠ 11x = 11×5 = 55°

↠ 22x = 22×5 = 110°

↠ 21x = 21×5 = 105°

↠ 18x = 18×5 = 90°

• Hence, the value of each angle of given quadrilateral is 55° , 90° , 105° & 110° respectively .