1995 AHSME Problems/Problem 17
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Problem
Given regular pentagon , a circle can be drawn that is tangent to
at
and to
at
. The number of degrees in minor arc
is
Solution
Define major arc DA as , and minor arc DA as
. Extending DC and AB to meet at F, we see that
. We now have two equations:
, and
. Solving,
and
.
See also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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