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Mathematics · May / June 2025 · Paper 42 · Question 18

0580

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The question as text

0580/42/M/J/25 © UCLES 2025 18 Ĥ C A Î ç NOT TO SCALE z° y° x° 125° 26° 52° A, Î, C, ç and Ĥ lie on a circle. Find the values of x, y and z. x ¡ y ¡ z ¡ [4]

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[x =] 29 [y =] 52 [z =] 107 [4]

B1 for 29

B1 for 52 B2FT for 107 or for z = their x + their y + 26

or B1 for ∠EAC = 73 or ∠EBC = 73 or B1FT for ∠EAC = 180 – (their x + their y + 26)

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