Question

the sum of the interior angles of a hexagon is equal to the sum of six consecutive integers. what is the measure of the smallest interior angle of the hexagon​

Answer 1

115°

Explanation

A hexagon is a six sided polygon.

The total sum of internal angles in a hexagon is 720°

Given that this sum is equal to sum of six consecutive integers;

Lets write the 6 consecutive integers

m, m+2, m+4, m+6, m+8, m+10

Finding the sum

m+m+2+m+4+m+6+m+8+m+10=6m+30

Form equation

(6m+30)°=720°

6m=720°-30°

6m=690°

m=690°/6=115°

Answer

The smallest interior angle of the hexagon is 115°