Question

The sum of two angles of a triangle is 120° and their difference is 20° find all three angles of the​

Answer 1

Answer:

let the angle sof triangle be x, y,and z

according to the question

sum of all angle interior of triangle is 180°

x+y+z= 180°....¹

it is given that x+y is 120

form eq 1

120 + z = 180

z= 180-120= 60°

x+y=120 given.......2

x-y= 20 given.....3

form eq1 and 2

2x= 140

x= 70

put x= 70 in... 2

70+y= 120

y= 120-70 = 50°

all three angles are 70 , 50 ,60