Question

4. If a figure has n number of congruent angles and the sum of the angles is 1080°, how many sides does the figure have? What is the name of the figure? Show all work in solving the problem.

Answer 1

Answer:

the figure have 3 sides and the name of the figure is triangle

Answer 2

Set 180(n-2) equal to each of the given sums and solve for n

180(n-2) = 1080

n-2 = 1080/180 = 6

n = 8

The figure is an octogon.