2021 Fall AMC 10A Problems/Problem 7
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Problem
As shown in the figure below, point lies on the opposite half-plane determined by line
from point
so that
. Point
lies on
so that
, and
is a square. What is the degree measure of
?
Solution
By angle subtraction, we have Note that
is isosceles, so
Finally, we get
degrees.
~MRENTHUSIASM ~Aops-g5-gethsemanea2
See Also
2021 Fall AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AMC 10 Problems and Solutions |
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