What is the sum of the interior angles of a $19-\mathrm{gon}$?

• A. $2880°$
• B. $3240°$
• C. $3420°$
• D. $3060°$

Answer: (D)

Verified step by step guidance

1. Recall the formula for the sum of the interior angles of an n-sided polygon: \(\text{Sum} = (n - 2) \times 180^\circ\).
2. Identify the number of sides of the polygon, which is given as \(n = 19\) for a 19-gon.
3. Substitute \(n = 19\) into the formula: \(\text{Sum} = (19 - 2) \times 180^\circ\).
4. Simplify the expression inside the parentheses: \$19 - 2 = 17$.
5. Multiply \$17\( by \)180^\circ\( to find the sum of the interior angles: \)17 \times 180^\circ$.