Question

3. Suppose that the interior angles of a convex hexagon are six

numbers, each separated by a value of 1 degree from its neighbors. What
is the measure of the third largest angle?
degrees

Answer 1

The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.

Explanation:

The sum of the interior angles of a regular hexagon is 720 degree.

Let the one angle is A.

So,

A + A + 1 + A + 2 + A + 3 + A + 4 + A + 5 = 720

6 A + 15 = 720

6 A = 705

A = 117.5

The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.