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MathNet 2026 — Part 03 Question 8

Math Olympiad Vault · MathNet 2026 — Part 03

Question 8

The figure illustrates a regular 9-sided polygon. The measure of the side of the polygon is $a$, the measurement of the smallest diagonal is $b$ and the measurement of the largest diagonal is $d$. Question illustration Figure 58.1
a) Determine the measure of angle $B\hat{A}E$.
b) Show that $d = a + b$. Figure 58.2