2014 AMC 8 Problems/Problem 15
Problem
The circumference of the circle with center is divided into equal arcs, marked the letters through as seen below. What is the number of degrees in the sum of the angles and ?
Solution
For this problem, it is useful to know that the measure of an inscribed angle is half the measure of its corresponding central angle. Since each unit arc is of the circle's circumference, each unit central angle measures . Then, we know that the inscribed arc of so ; and the inscribed arc of so . \framebox{(C) }
See Also
2014 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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