Question

If the measure of the four angles of a quadrilateral are in ratio of 1: 3: 7:9, then find all the
angles. ​

Answer 1

Answer:

18,54,126,162

Step-by-step explanation:

Let the angles be x, 3x,7x,9x respectively

Then, x+3x+7x+9x=360

Or, 20x=360

Or, x=360/20=18

Or, 3x=18*3=54

Or, 7x=7*18=126

Or, 9x=9*18=162

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Answer 2

ratio=1:3:7:9

so the numbers will be- 1x,3x,7x,9x

sum of angles of a quadrilateral=360°

therefore,

1x+3x+7x+9x=360

20x=360

x=360÷20

x=18

now, according to the question,

1x= 18

3x=54

7x=126

9x= 162

hope it helps