Mathematics · Oct / Nov 2025 · Paper 21 · Question 14
0580
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The question as text
Ě ě NOT TO SCALE 88° 55° X Ð A C A, Ð, C, Ě and ě lie on the circle. AC and ÐĚ intersect at X. Angle ACĚ ¢ 55° and angle CXĚ ¢ 88°.
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14(a)[6]
37 Angle sum of triangle = 180 55 Angles in the same segment are equal 125 Opposite angles of cyclic quadrilateral sum to 180 [2]
B1 for each 2
B1 for each 2
B1 for each
14(b)(i)[2]
5.4 [2]
M1 for 4 2.7 8 = CX oe
14(b)(ii)[1]
4 : 1 oe [1]
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