1. The sum of two angles of a triangle is 80° and their difference is 20° Find all the angles of the triangle
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Step-by-step explanation:
let angle 1 be x
angle 2 be y
sum of all angles = 180
so 180 = x+y+ third angle
180= 80 + third angle
third angle = 100
x+y=80
x=80-y (i)
x-y = 20
80-y-y = 20 (putting x=80-y , from (i) )
80-2y=20
2y = 60
y=30 (ii)
as x+y = 80
x+30 = 80 ... from (ii)
x=50
all angles are , 50, 30, 100
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