the angles of a quadrilateral are in A.P whose common difference is 10. Fond.the angles
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Answer:
Let the 1st angle be x
then 2nd angle = x+10
3rd angle = x + 20
4th angle = x + 30
A/q
x + x + 10 + x + 20 + x + 30 = 360
=> 4x + 60 = 360
=> 4x = 360 - 60
=> 4x = 300
=> x = 300/4
x = 75
Hence,
1st angle = x = 75°
2nd angle = x+10 = 85°
3rd angle = x + 20 = 95°
4th angle = x + 30 = 105°
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