Question

An exterior angle of a rectangle polygon cannot have the measure

Answer 1

The sum of the measures of an exterior angle of a polygon is 360°.

If the given angle divides 360 evenly, then it can be a measure of an exterior angle of a polygon. If otherwise, then it cannot be.

`\begin{gathered} 360/30=12 \\ 360/50=7.2 \\ 360/120=3 \\ 360/90=4 \\ 360/40=9 \end{gathered}`

Out of the given angles, only 50 does not divide 360 evenly. Therefore, a regular polygon cannot have an exterior angle measuring 50°. (Option B)