Answer:
8
Step-by-step explanation:
In a regular polygon of n sides, each interior angle measures (n - 2)180/n.
Here, each interior angle measures 135°.
We set the expression equal to 135°, and solve for n, the number of sides.
(n - 2)180/n = 135
Multiply both sides by n.
(n - 2)180 = 135n
180(n - 2) = 135n
Distribute 180 on the left side.
180n - 360 = 135n
Add 360 to both sides.
180n = 135n + 360
Subtract 135n from both sides.
45n = 360
Divide both sides by 45.
n = 360/45
n = 8
