Solve the Problem $60 ^ { \circ }$ B) $90 ^ { \circ }$

Multiple Choice

Solve the problem.
badges and vehicles. (Hint: Inscribe the star in a circle, and use the following theorem from
geometry: An angle whose vertex lies on the circumference of a circle is equal to half the central angle that
cuts off the same arc. See the figure.)
A) $60 ^ { \circ }$
B) $90 ^ { \circ }$
C) $45 ^ { \circ }$
D) $75 ^ { \circ }$ Answer: A
Explanation: A)
B)
C)
D)
10
The triangles are similar. Find the missing side, angle or value of the variable.
-Determine the measure of the angle in each point of the six-pointed star appearing on police badges and vehicles. (Hint: Inscribe the star in a circle, and use the following theorem from geometry: An angle whose vertex lies on the circumference of a circle is equal to half the central angle that
Cuts off the same arc. See the figure.)

A) $60 ^ { \circ }$
B) $90 ^ { \circ }$
C) $45 ^ { \circ }$
D) $75 ^ { \circ }$