The sum of the measures of the three of a angles of triangle is 180. In a triangle, the measures of three angles are x, x-5 and x+23. What is the measure of each angle

x + x-5 + x + 23 = 180

combine like terms:

3x + 18 = 180

subtract 18 from each side:

3x = 162

divide both sides by 3

x = 162 / 3 = 54

Angle x = 54 degrees

Angle x-5 = 54-5 = 49 degrees

Angle x + 23 = 54 + 23 = 77 degrees