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Mrrafil [7]
3 years ago
12

One fifth of the sum of two angles is 24 and half their difference is 14.Calculate the two angles

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0
Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120   --- equation (1)

a-b/2 = 14
a - b = 28  ---- equation (2)
a = 28 + b

Now, substitute this value of b in equation (1), 
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74

In short, Your Angles are 74 and 46

Hope this helps!
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