Question

The measures of 5 of the interior angles of a hexagon are: 130, 120°, 80. 160 and 155 What is the measure of the largest exterior angle?

Answer 1

The largest exterior angle is `180^@-75^@=105^@`.

Explanation:

Sum of allthe six interior angles of a hexagon is `720^@`

As sum of five angles is `130^@+120^@+80^@+160^@+155^@=645^@`

sixth angle is `720^@-645^@=75^@`

So the smallest interior angle of hexagon is `75^@`

and the largest exterior angle is `180^@-75^@=105^@`.