Question

The sum of two angels of a triangle is 116° and their different is 24 find the measure of each angel of the triangle

Answer 1

Let angles are x and y


Their sum = 116°

x + y = 116 -----1equation




Their difference = 24

x - y = 24 -----2equation



On adding both equations, we get,

2x = 140
x = 70°


Substituting the value of x in 1equation,

x + y = 116
70 + y = 116
y = 116 - 70
y = 46°



Angle x = 70
Angle y = 46



We know, sum of all angles of a triangle = 180


70 + 46 + third angle = 180

116 + third angle =180

Third angle = 180 - 116

Third angle = 64°

Answer 2

∠A + (∠B + ∠C) = 180°

∠A + 116° = ∠180°

∠A = 180° - 116°

∠A = 64

hope it's help you