Question

the sum of two angles is 75° and their differences is π\4 find their measures in radians

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Answer 1

π/4 = 45°

then if the angles are x,y

then x+y=75

x-y=45

x+y+x-y=75+45

2x = 120

x = 60

or , x= π/3

y= 75-60=15

or, y= π/12