Question

if the ratios of the angles of a qudilateral are 2:3:4:6, find the size of each angles

Answer 1

Answer:

2x=48 degrees

3x=72 degrees

4x=96 degrees

6x=144 degrees

Step-by-step explanation:

all the angles of a quadrilateral are 360 degrees

let the angles be x

2x+3x+4x+6x=360 degrees

15x=360

x=24

Answer 2

Given ,

The ratios of the angles of a qudilateral are 2 : 3 : 4 : 6

Let , The angles of quadrilateral be 2x , 3x , 4x and 6x

As we know that ,

The sum of all angles of quadrilateral is 360

Thus ,

2x + 3x + 4x + 6x = 360

15x = 360

x = 360/15

x = 24

$\therefore$ The angles of quadrilateral are

• 2x = 2 × 25 = 48
• 3x = 3 × 25 = 72
• 4x = 4 × 25 = 96
• 6x = 6 × 25 = 144