Question

The sum of two angles of a triangle is 116 and their difference is 24. Find the measure of each angle of the triangle

Answer 1

let x and y be the angles of given triangle then. x+y=116 and x-y=24 by elimination method 2x=140 then x= 70° and y= 46° the third angle is 180-70-46=64°

Answer 2

Given:

The sum of the measure of two angles of a triangle = 116°

The difference between the two angles of a triangle = 24°

To find:

Value of each angle of the triangle.

Solution:

Let us take the three angles of a triangle as X, Y, and Z.

The sum of three angles of a triangle = 180°

⇒ X + Y + Z = 180°

Therefore,

X + Y = 116°

X - Y = 24°

On solving these two equations, we get ,

X = 70°

⇒ Y = 46°

The third angle, Z = 180° - ( 70° + 46° )

Z = 180° - 116°

Z = 64°

The measure of each angle of the triangle is 70°, 46°, 64°