Question

in a quadrilateral ABCD, angle A,B,C,D are ratio of 1: 2:3:4 find the measure of each angle of quadrilateral ​

Answer 1

Answer:

36 degree, 72 degree, 108 degree, 144 degree.

Step-by-step explanation:

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

10x=360

x=360/10

x=36

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Answer 2

Answer:

Sum of the angles in a quadrilateral = 360°

According to question the ratio is 1:2:3:4 , so we can consider them as 1x , 2x , 3x , 4x .

so , 1x+2x+3x+4x = 360°

10x = 360°

x = 36°

1x = 36°

2x = 36×2=72°

3x = 36×3=108°

4x = 36×4=144°

Step-by-step explanation:

Verification : 36+72+108+144=360

Hope this will help u