9514 1404 393
Answer:
720°
Step-by-step explanation:
The formula for the sum of interior angles of a convex n-gon is ...
angle sum = 180°(n -2)
This hexagon will have an angle sum of ...
angle sum = 180°(6 -2)
angle sum = 720°
_____
Additional comment
Essentially, the formula is telling you that the figure can be divided into 4 triangles, each of which has an angle sum of 180°. If you like, you can consider that a diagonal between opposite vertices will divide the figure into two quadrilaterals, each with an angle sum of 360°.
