Question

One fifth of the sum of two angles is 24° and half their difference is 14°. Find the two angles.
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Answer 1

Answer:

Let x and y be two angles

ATQ

1/5(x+y) =24°_(1)

1/2(x-y) =14°_(2)

from (1) x+y=24×5=120°

from(2) x-y=14×2=28°

x+y=120

x-y=28

adding these

2x=148

x=74

y=120-74=46