Question

Find the measure of each angle of quadrilateral if they are in ratio 3:5:7:9

Answer 1

Let the angles be 3x, 5x, 7x and 9x respectively

Now, 3x+5x+7x+9x=360......measure of all amgles of quadrilateral is 360

8x+16x=360

24x=360

x=360/24

x=15

now,

5x=5×15=75

3x=3×15=45

7x=7×15=105

9x=9×15=135 Hope u like my answer

Answer 2

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Solution=>

let the angles be 3x, 5x, 7x and 9x

The sum of angles of quadrilateral is 360°

so,

=>3x+5x+7x+9x=360°

=>8x+16x=360°

=>24x=360°

=>x=360/24

=>x=15°

putting the value of x in above ratios

=>3(15)=45°

=>5(15)=75°

=>7(15)=105°

=>9(15)=135°

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