Your smallest angle is 26°
Angles in a triangle add up to 180°. This means:
Angle1 + Angle2 + Angle3 = 180°
The second angle of a triangle is 3 times as large as the first.
Angle2 = 3 * Angle1
The third angle is 50° more than the first.
Angle3 = Angle1 + 50°
Substitute these into the first formula, in terms of Angle1.
Angle1 + (3 * Angle1) + (Angle1 + 50°) = 180°
Expand and simplify.
5 * Angle1 + 50° = 180°
Put it into the formula Ax = B. You will have all the variables on one side and the integers on the other.
5 * Angle1 + 50° = 180°
5 * Angle1 + 50° - 50° = 180° - 50°
5 * Angle1 = 130°
Put it into the formula x = b. Solve to find 1 of the variable.
5 * Angle1 = 130°
5 * Angle1 / 5 = 130° / 5
Angle1 = 26°
Check this is right by substituting into the given formulas.
Angle2 = 3 * Angle1
Angle2 = 3 * 26
78 = 3 * 26
Angle3 = Angle1 + 50°
Angle3 = 26 + 50°
76 = 26 + 50°
Angle1 + Angle2 + Angle3 = 180°
26 + 78 + 76 = 180°
