Problema Solution

One angle of a triangle is 10 degrees greater tahn a second angle and is 40 degrees less than the third angle. Find the size of each angle of the triangle.

Answer provided by our tutors

let the one angle be x

then the second angle = x - 10

and third angle = x + 40

but sum of all angles = 180

hence,

x + x - 10 + x + 40 = 180

or 3x = 150

x = 50 degree

hence the angles are,

50, 40 and 90 degrees