一个长方形 PQRS 沿其对角线 PR 折叠,如下图所示。已知 ,求折叠后的 。 答:___

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完整解法
24
1. Find the angle of the corner of the rectangle
In a rectangle, the corner angle is . Therefore, before folding.
2. Determine the angle $\angle\text{PRQ}$ before folding
.
3. Use the property of folding to find the new position of $\angle\text{PRQ}$
When folded along PR, the triangle PQR is reflected. The new angle (where Q' is the new position of Q) is equal to the original , so .
4. Calculate the new $\angle\text{QRS}$ after folding
The new is the angle between the folded segment RQ' and the original segment RS. Since both are on the same side of PR after folding, the new .
答案
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