Geometric Exercises for Algebraic Solution Second Year Mathematics for Secondar

Cover Geometric Exercises for Algebraic Solution Second Year Mathematics for Secondar
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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