Answer: True
Step-by-step explanation
For regular polygons, the interior angle formula is
i = 180(n-2)/n
where n is the number of sides. Let's replace the 'i' with 170 and solve for n.
i = 180(n-2)/n
170 = 180(n-2)/n
170n = 180(n-2)
170n = 180n-360
170n-180n = -360
-10n = -360
n = -360/(-10)
n = 36
We see that an interior angle of 170 degrees is possible. It happens when the regular polygon has 36 sides.
Check:
i = 180(n-2)/n
i = 180(36-2)/36
i = 170
The answer is confirmed.