Question

Calculate all the angles of a quadrilateral if they are in the ratio 2:5:4:1.​

Answer 1

Let the angles of traingle be 2x ,5x,4x and x

As we know that the sum of all angles of traingle is 360 degree.

2x+5x+4x+x = 360

12x = 360

x = 360/12

x = 30 degree

1st angle = 2x = 2×30= 60 degree

2nd angle = 5x = 5×30 = 150 degree

3rd angle = 4x = 4×30 = 120 degree

and 4th angle = x = 30 degree

please mark me brainlist and follow me for more answers.

Answer 2

Answer :-

Tʜᴇ sᴜᴍ ᴏғ ǫᴜᴀᴅʀɪʟᴀᴛᴇʀᴀʟ ɪs 360°

Let the angles be 2x,5x,4x and x

A/C:-

2x + 5x + 4x + x = 360°

➪ 12x = 360°

➪ x = 360/12

➪ x = 30

Angles, 2x = 60° ; 5x = 150° ; 4x = 120° ; x = 30°

More Information :-

A quadrilateral can be defined as a closed, two dimensional shape which has four straight sides.

Properties :-

• A quadrilateral has 4 sides, 4 angles and 4 vertices
• A quadrilateral can be regular or irregular
• the sum of the interior angle of quadrilateral is 360°