2023 AMC 10B Problems/Problem 7
Revision as of 19:15, 15 November 2023 by Hpotter2021 (talk | contribs)
Square is rotated clockwise about its center to obtain square , as shown below(Please help me add diagram and then remove this). 202310b7.jpeg What is the degree measure of ?
Solution 1
First, let's call the center of both squares . Then, , and since , . Then, we know that bisects angle , so . Subtracting from , we get
~jonathanzhou18
Solution 2
First, label the point between and point and the point between and point . We know that and that . Subtracting and from , we get that is . Subtracting from , we get that . From this, we derive that . Since triangle is an isosceles triangle, we get that . Therefore, . The answer is .
~yourmomisalosinggame (a.k.a. Aaron)