Find the sum of the angles of a convex: a) pentagon; b) a hexagon; c) a decagon.

The sum of the degree measures of the angles of a convex n-gon is found by the formula:
180 * (n – 2).
a) Therefore, we find the sum of the angles of a convex pentagon, that is, in the formula 180 * (n – 2) we substitute the number 5 instead of the variable n and get:
180 * (5 – 2) = 180 * 3 = 540 degrees.
Answer: 540 degrees;
b) Find the sum of the angles of a convex hexagon, that is, substitute 6 instead of variable n in the formula 180 * (n – 2) and get:
180 * (6 – 2) = 180 * 4 = 720 degrees.
Answer: 720 degrees;
c) Find the sum of the angles of a convex decagon, that is, in the formula 180 * (n – 2) we substitute the number 10 instead of the variable n and get:
180 * (10 – 2) = 180 * 8 = 1,440 degrees.
Answer: 1,440 degrees.