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?

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Answer 1 · 2017-01-08T07:40:17

#72°, 90°, 90°, 144°, 162°,162°#

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 = 720/40#

#x = 18#

The angles are:

#72°, 90°, 90°, 144°, 162°,162°#