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Answer:
The polygon has 8 sides.
Step-by-step explanation:
Use the sum of interior angles formula to solve.
The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:
135 = (n-2)· 180 / n
Multiply both sides by n:
135n = (n-2) · 180
Distribute the 180:
135n = 180n - 360
Subtract 180n from both sides:
-45n = -360
Divide both sides by -45:
n = 8. The polygon has 8 sides.
