in triangle ABC the measure of angle A is 40 degree less than the measure of angle of angle B and 50 degree less than that of angle C find the measure of /A
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Let Angle A be X
let Angle B be X +40
Let Angle C be X + 50
ATQ
Angle A + Angle B + Angle C = 180° ( Angle sum property of triangle)
X + X +40 + X + 50 = 180°
3X + 90 = 180°
3X = 180 - 90
3X = 90
X = 90/3
X = 30
Therefore, Angle B = X+ 40 = 70
and Angle C= X+50 = 80
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