2021 Fall AMC 10A Problems/Problem 7
Contents
[hide]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
Solution 2 (same as Solution 1 but by another user)
Since and we know that From the given, so that means is isosceles. So, Hence, since it is supplementary to This gives us answer choice
Aops-g5-gethsemanea2 (talk) 18:56, 22 November 2021 (EST) This solution conflicted with the above solution due to two people editing at the same time.
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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