hfirdous31
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Sagot :

Luv2Teach

Answer:

Step-by-step explanation:

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

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

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.