Question:
if the angles of a qaudralateral are in A.P with common diff 10 . find the angles and also their sum
Answer:
Let one of the angles of the quadrilateral = a
Since the angle are in AP and common difference is 10
So, other angles are: a + 10, a + 20, a + 30
Now, sum of the angles of the quadrilateral = 360
=> a + a + 10 + a + 20 + a + 30 = 360
=> 4a + 60 = 360
=> 4a = 360 - 60
=> 4a = 300
=> a = 300/4
=> a = 75
So, the angles are: 75, 85, 95 and 105
Sum of the angles = 75 + 85 + 95 + 105 = 360
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