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" An exterior angle of a triangle is equal to the sum of the two opposite interior angles. "
Junior High School Mathematics ... - Page 27
by Edson Homer Taylor, Fiske Allen - 1923
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Schaum's Outline of Trigonometry

Robert E. Moyer - Mathematics - 1998 - 246 pages
...triangle, the triangles are similar. A The sum of the measures of the angles of a triangle is 1 80°. A An exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles of the triangle. A The acute angles of a right...
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GCSE Intermediate Maths

Janet Crawshaw, Paul Langley - Education - 1998 - 598 pages
...interior(/r ) angles add up to 180° (e + f = \80°) The interior angles of a triangle add up to 180° An exterior angle of a triangle is equal to the sum of the interior opposite angles The interior angles of a quadrilateral add up to 360° Be able to draw...
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Pure Mathematics

Andy Martin - Mathematics - 2000 - 212 pages
...curve must coincide with the axis. [6] So sin * = 0 for 0 < * < 2?r [7] 15.1 Contextual Prove that the exterior angle of a triangle is equal to the sum of the two opposite interior angles: A + B = C. State clearly any axioms used. 2 Without using a calculator find: a the units figure of...
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Understanding Engineering Mathematics

Bill Cox - Mathematics - 2001 - 560 pages
...180° Hence d + b + e= 180° which proves the result. Another important property of triangles is that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. Again, the proof involves additional construction and is not difficult, as shown in Figure 5.15. D...
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Hungarian Problem Book III

György Hajós, Andy Liu, G. Neukomm, János Surányi - Mathematics - 2001 - 164 pages
...— 180°. Hence the sum of the three angles of triangle ABC is also 180°. Exterior Angle Theorem. An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle. Proof: This follows easily from the Angle Sum...
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STP National Curriculum Mathematics, Volume 9, Part 1

Linda Bostock - Juvenile Nonfiction - 2001 - 454 pages
...411 also lead to another useful tact about angles in triangles: (2) and (3) => f°+g° = q° + r° ie an exterior angle of a triangle is equal to the sum of the two interior opposite angles. Because this proof does not involve measuring angles in a particular...
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Symmetries

D.L. Johnson - Mathematics - 2002 - 220 pages
...following facts in plane geometry remain valid in the spherical case and which do not. Give reasons. (a) An exterior angle of a triangle is equal to the sum of the interior opposites. (b) Two triangles are congruent if two sides and the included angle are equal....
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New National Framework Mathematics 7+ Pupil's Book, Volume 7

M. J. Tipler, K. M. Vickers - Mathematics - 2002 - 486 pages
...parallel lines, are equal Remember Angle a is called an exterior angle. It is outside the triangle. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example y = 57° + 59° = 116° a = b + c Discussion Marcus and Abbie wanted to prove that the exterior...
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STP New National Curriculum Mathematics

Linda Bostock - Juvenile Nonfiction - 2002 - 434 pages
...alternate angles are equal, • interior angles add up to 180 , • angle sum of a triangle is 180 , • an exterior angle of a triangle is equal to the sum of the interior opposite angles, • an isosceles triangle has two sides of the same length and the angles...
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REA's Practical Help for Pre-algebra

Sally H. Spetz, Staff of Research Education Association - Education - 2002 - 238 pages
...sum of the measures of the three interior angles of a triangle is equal to 180°, and the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles of the triangle. We can now start by considering...
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