the diagram shows a triangle. what is the value of c? c = °

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is (180^{\circ}). So, ((c + 28^{\circ})+(c + 30^{\circ})+114^{\circ}=180^{\circ}).

Step2: Combine like terms

Combine the (c) terms and the constant terms: (2c+(28 + 30+114)^{\circ}=180^{\circ}), which simplifies to (2c + 172^{\circ}=180^{\circ}).

Step3: Solve for (c)

Subtract (172^{\circ}) from both sides: (2c=180^{\circ}-172^{\circ}), so (2c = 8^{\circ}). Then divide both sides by (2): (c=\frac{8^{\circ}}{2}).

Answer:

(4)