Geometric Exercises for Algebraic Solution Second Year Mathematics for Secondar

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Geometric Exercises for Algebraic Solution Second Year Mathematics for Secondar
George William Myers
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V; (9) 78°-. T and 8. T-69°; and so°-— ; ^ 4 (. ) -f ° and 2. V + 25°; (. ) ^-1 and 10° ""7^ Oj Angles oj an Isosceles Triangle ig (13) -+- and ^ + 6i; 52 10 4 -' (14) -+- and - + i8°; 36 4 (15) --- and ^+81°; 24 5 (16) x--- + 2o° and ^ + 26°. 7 4 23. Find each of the angles of an isosceles triangle, whose several angles may be represented by the following sets of three algebraic expressions, x denoting the same number through- out each set: (i) :v + i8°. ;c + i8°, and io. V-f24°; (2)^^—^, ^-~-..., and 3. V-f3°; (3) 40°—, v, 40°— . V, and 3(20° — 2:x;) ; (4)'-^°, ^°, a„d3(. . V-. O°);, , 2. V 60 2. V 60, s(-v-i8°) 180° (5) t:, , and^^ ; 2, X 7, X 2 X (6)3£±5S!_ 3£±55!^, „d4?. 4 4 15, , lox lox, g. V— C2° (7) — -, -—, and^ ^; 77 2 (8) qLv- — j, gix-^\ and ^{x-i); . , 7. V-26° 7. V-26°, 72° (9) - —, , and ^x+^- ; 4 4 X, . . 108^ . 108° J 216° (10) -|^-, ^x, and XX X 20 Geometric Exercises for Algebraic Solution 24. X and y stand for the same numbers in both triangles of Fig.

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