 | United States Naval Academy - 1914 - 110 pages
...No smooth copy is required- Pencil may be used for all mathematical work. Question 1. (a) Prove that the exterior angle of a triangle is equal to the sum of the interior opposite angles of the triangle, and thence find the sum of the angles of the triangle.... | |
 | 1938 - 422 pages
...0.025°. b. Construction of azimuth difference circles. — Two propositions of geometry are used: first, the exterior angle of a triangle is equal to the sum of the two opposite interior angles ; and second, an inscribed angle is measured by one-half the intercepted... | |
 | 1916 - 696 pages
...the centre of which is pivoted an arm fitted with backsight and foresight. Now, the angle d, being the exterior angle of a triangle, is equal to the sum of the two interior and opposite angles a and b. Hence, since d=a+Ii 6=do , That is, by subtracting a from d he arrives... | |
 | R. Elvin, Raymond Elvin, A. Ledsham, C. Oliver - 1986 - 310 pages
...G. equilateral 2. 8cm 8cm The sum of the interior angles of a triangle is 180°. a + b + c = \80° The exterior angle of a triangle is equal to the sum of the two opposite interior angles. л л . ? x = a + b Example 1 „ А д Find the size of a, ¿>,... | |
 | L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - 1992 - 394 pages
...above also lead to another useful fact about angles in triangles: (2) and (3) =» / + £=?+? 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 triangle it applies to all possible... | |
 | Peter Michael Harman, Alan E. Shapiro - 2002 - 552 pages
...crosses it pa = pm, an( i tne an gle of half the vertex of the shadow is v u . By considering that the exterior angle of a triangle is equal to the sum of the interior and opposite angles, the following relations appear: (1) in triangle S'VE, r s = /> s... | |
 | L. Bostock - 1996 - 484 pages
...called its vertices (one corner is a vertex). Exterior angle We can also see that it looks as though an exterior angle of a triangle is equal to the sum of the two interior opposite angles. Exercise 3b For each diagram in questions 1 and 2, write down the angle that corresponds to the angle... | |
 | 1999 - 116 pages
...AA a , + a2 = 1 80° angles on a straight line AAAAA .*. al + b+ c= al + a2 AAA /. b+ c = a7 Note: The exterior angle of a triangle is equal to the sum of the two opposite interior angles. 5. Calculate the size of the unknown angles in the following diagrams.... | |
 | David Baker - 2000 - 662 pages
...properties of parallelograms and a proof that the angle sum of a triangle is 180°; understand a proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices; l(d) use angle properties of equilateral, isosceles... | |
 | David Rayner - 2000 - 500 pages
...the sum of the angles p, q and r. (b) Write down the sum of the angles q and x. (c) Hence show that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices. 24. The diagram shows two equal squares joined to a... | |
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To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig. 
