Question

The sum of two angles is 80 degree and difference is 20 degree. Find the other angles of a triangle

Answer 1

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Answer 2

let the two angles be x

sum of two angles =80°

therefore,

x+y = 80°

their difference =20°
therefore,
x-y=20°


now, equate both the equations :

so ,
2x=100°

x =50°

y= 80 - 50 = 30°


proof:

x+y+z=180° ( angle sum property of a triangle)

x= 50°, y=30° and z =?

50 + 30 +z =180°

80° + z = 180°

z= 180° - 80° = 100°

therefore,

x = 50° , y = 30° and z = 100° .