Mathematics · Oct / Nov 2024 · Paper 22 · Question 8
0580
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0580/22/O/N/24 © UCLES 2024 [Turn over 8 The diagram shows a parallelogram. NOT TO SCALE (132 – 2x)£ (15 + 5x)£ Work out the size of the smallest interior angle of the parallelogram. [4]
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70 [4]
B3 for x = 11 OR
M1 for 132 – 2x + 15 + 5x = 180 oe
M1 for collecting x terms on one side and number terms on the other for their equation.
M1 for 15 + 5 × their x oe where –3 < their x < 15 or for 132 – 2 × their x oe where 21 < their x < 66
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