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

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step-by-step explanation: