# The sum of the measures of the interior angles of a hexagon is 720° The measures of the angles of a particular hexagon are in the ratio 4:5:5:8:9:9, What are the measure of these angles?

Jan 8, 2017

72°, 90°, 90°, 144°, 162°,162°

#### Explanation:

These are given as a ratio, which is always in simplest form.

Let $x$ be the HCF that was used to simplify the size of each angle.

4x+5x+5x+8x+9x+9x = 720°

40x = 720°

$x = \frac{720}{40}$

$x = 18$

The angles are:

72°, 90°, 90°, 144°, 162°,162°