Question

# Multiple Choice For Exercises 1−6, choose the correct letter. For Exercises 1 and 2 , use the diagram at the right. The figure at the right is a Ferri

Analytic geometry
Multiple Choice For Exercises 1−6, choose the correct letter. For Exercises 1 and 2 , use the diagram at the right.
The figure at the right is a Ferris wheel in the shape of a regular octagon with spokes extending from the center to each vertex and an apothem drawn. What is m∠1? A. 22.5 B. 45 C. 60 D. 67.5

2021-01-09
Since the octagon is regular, then it is divided into 8 congruent isosceles triangles. Hence, we divide 360° by 8 to find $$\displaystyle{m}∠{1}{m}$$:
$$\displaystyle{m}∠{1}={360.8}={45}$$
which is choice B.