Question

If each exterior angle of a regular polygon measures 90 degree, how many sides does the polygon have?

Answer 1

Question21456

If each interior angle of a regular polygon measures 90 degree, how many sides does the polygon have?

Solution. The measure of an interior angle of a regular polygon with n sides equals $\frac{180(n-2)}{n}$. Thus

$$\frac{180(n-2)}{n} = 90$$ $$180n - 360 = 90n$$ $$n = 4.$$

Answer. The polygon has 4 sides.