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AMO 2027 Grades 6-7 SET 18 - Self-study Question 15

AMO · AMO 2027 Grades 6-7 SET 18 - Self-study

Question 15

In the diagram, PQRS represents a rectangular piece of paper. The paper is folded along a line VW so that ∠VWQ = 125°. When the folded paper is flattened, points R and Q have moved to points R′ and Q′, respectively, and R′V crosses PW at Y. What is the measure of ∠PYV?

**Editorial note for this self-study exercise:** The fold is an exact reflection across VW. P, Y, W, Q lie on the original top side in that order, and S, V, R on the bottom side. Enter the angle in degrees as a number, without the degree sign.

Question illustration