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Mathematics · May / June 2022 · Paper 21 · Question 12

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The interior angles of a pentagon are in the ratio . 4 5 5 7 9 | | | | Find the size of the largest angle. [3]

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162 [3]

− × 3

M2 for (5 2) 180 × k where k = 1, 4, 5, + + + + 4 5 5 7 9 7, 9 n ⩾ 2

or M1 for 180n ÷ (4 + 5 + 5 + 7 + 9) where or for (5 – 2) × 180 oe

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