# 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?

Jan 9, 2018

The largest exterior angle is ${180}^{\circ} - {75}^{\circ} = {105}^{\circ}$.

#### Explanation:

Sum of allthe six interior angles of a hexagon is ${720}^{\circ}$

As sum of five angles is ${130}^{\circ} + {120}^{\circ} + {80}^{\circ} + {160}^{\circ} + {155}^{\circ} = {645}^{\circ}$

sixth angle is ${720}^{\circ} - {645}^{\circ} = {75}^{\circ}$

So the smallest interior angle of hexagon is ${75}^{\circ}$

and the largest exterior angle is ${180}^{\circ} - {75}^{\circ} = {105}^{\circ}$.