Question

the four interior angle of a quadrilateral are in the ratio 3:5:7:9, find the measure of the four angles

give full explanation​

Answer 1

Answer:

45 , 75 , 135 , 105

Step-by-step explanation:

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

aum of all angles is 360

so 3x+5x+7x+9x =360

24x =360

x = 15

so angles are 3*15=45

5*15=75

7*15=105

9*15=135

Answer 2

Answer:

22.5, 37.5, 52.5, 67.5

Step-by-step explanation:

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

Interior angle property of quadrilaterals= sum of angles=180

=>3x+5x+7x+9x=180

=>8x+16x=180

=>24x=180

=>x=180/24

=>x=45/6

=>x=15/2

=>x=7.5

Therefore angles are 22.5, 37.5, 52.5, 67.5

Hope it helps

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