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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $(c + 11^{\circ})+117^{\circ}+(c + 14^{\circ})=180^{\circ}$.

Step2: Combine like - terms

$(c + c)+(11^{\circ}+117^{\circ}+14^{\circ})=180^{\circ}$, which simplifies to $2c+142^{\circ}=180^{\circ}$.

Step3: Isolate the variable c

Subtract 142° from both sides: $2c=180^{\circ}-142^{\circ}$, so $2c = 38^{\circ}$. Then divide both sides by 2: $c=\frac{38^{\circ}}{2}$.

Answer:

$19$