The five angles of a pentagon are in the ratio 5:6:7:8:10.find the angles.

Sum Of All The Angles Of A Pentagon = 540

As Three Sides- 180

Four Sides = 360

Five Sides = 180*3 = 540

Now Let Angles Be

5x,6x,7x,8x And 10x.

5x+6x+8x+7x+10x = 540

36x = 540

x = 15

Now Angles-

15*5 = 75 , 15*6 = 90, 15*7 = 105,15*8 = 120 And 15*10 = 150

  • 4

ange sum property of a pentagon=(5-2)X180 = 540

let the angles be 5x,6x,7x,8xand 10x.

5x+6x+7x+8x+10x=549

36x=540

x 540/36

x=15 

therefore, the angles are 

5x=5X15=75

6x=6X15=90

7x=7X15=105

8x=8X15=120

10x=10X15=150

now the angles are 75,90,105,120and 150.

hope you got the right answer.

  • -1

yes,thank u

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