In the diagram, ACE and ABD are straight lines, AB = BC = CD and angle BAC = x°. (i) Express in terms of x (a) angle CBD, (b) angle DCE, (c) angle BCD. [3] (ii) If AC = AD, find the numerical value of x. [2]

Model answer

(i)(a) 2x; (b) 3x; (c) 180 - 4x; (ii) x = 36

Also accepted: 2x; 3x; 180 - 4x; 36, 2x, 3x, 180 - 4x, 36, 2x°; 3x°; (180 - 4x)°; 36°, 2x; 3x; 180-4x; 36, 2x; 3x; (180 - 4x); 36

ZIMSEC Mathematics 4028/2, June 2010, Q3(a), via the Topical Collection

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