the measure of the angels of a quadrilateral are in ratio 2:4:5:7 find the measure of each of it's angles

If they all exist in proportion to one another (READ: ratio) then multiplying each of the angles by the same number (here, some unknown "x" value) will maintain the proportionality. Since all the angles of a quadrilateral have to add up to equal 360, then

2x + 4x + 5x + 7x = 360 and

18x = 360. Divide both sides by 18 to get that

x = 20. That means that

2x = 2(20) = 40 and

4x = 4(20) = 80 and

5x = 5(20) = 100 and

7x = 7(20) = 140. Adding all of those up:

40 + 80 + 100 + 140 = 360

Adresnsia Adresnsia · Answer 2 · 2022-08-07T15:03:28+02:00

Adresnsia Adresnsia

07-08-2022

Answer:

40,80,100,140

Step-by-step explanation:

Let the ratio 2:4:5:7 angles be 2x, 4x, 5x, 7x

Now

2x + 4x + 5x + 7x=360 degrees

18x = 360 degrees

x =360/18

x=20

2x=2 *20=40

4x=4 *20=80

5x=5 *20=100

7x=7* 20=140

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the measure of the angels of a quadrilateral are in ratio 2:4:5:7 find the measure of each of it's angles​

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the measure of the angels of a quadrilateral are in ratio 2:4:5:7 find the measure of each of it's angles