in the regular nonagon shown, what is the measure of angle x?\n36°\n40°\n45°\n60°
in the regular nonagon shown, what is the measure of angle x?\n36°\n40°\n45°\n60°
Answer
Answer:
B. $40^{\circ}$
Explanation:
Step1: Recall exterior - angle sum property
The sum of the exterior angles of any polygon is $360^{\circ}$.
Step2: Identify the number of sides
A non - agon has $n = 9$ sides.
Step3: Calculate the measure of one exterior angle
For a regular polygon, each exterior angle $\theta=\frac{360^{\circ}}{n}$. Substituting $n = 9$ into the formula, we get $\theta=\frac{360^{\circ}}{9}=40^{\circ}$. So the measure of angle $x$ is $40^{\circ}$.