1. The problem is to find the measure of the missing angle in a triangle where the other two angles are given as 76° and 56°. 2. The formula used is the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180°. 3. Using the formula: $$\text{Sum of angles} = 180^\circ$$ Let the missing angle be $x$. 4. Set up the equation: $$76^\circ + 56^\circ + x = 180^\circ$$ 5. Add the known angles: $$132^\circ + x = 180^\circ$$ 6. Solve for $x$ by subtracting 132° from both sides: $$x = 180^\circ - 132^\circ$$ 7. Calculate the difference: $$x = 48^\circ$$ 8. Therefore, the measure of the missing angle is $48^\circ$.