 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...omitted in proofs. The teacher should call attention to them if necessary. 47 §§65-68 66. Corollary. An exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. For x + y = a st. Z, Q and —X Subtracting y, we have By subtracting... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...exterior angle of a figure is the angle included between one side and an adjacent side produced. 6. An exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. 9. Parallel Lines. 1. Parallel lines are lines which lie in the... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...similarly drawn, but included by them." Also equal triangles (sas) First diagram. Or, second diagram; an exterior angle of a triangle is equal to the sum of the opposite interior angles, making ACE obtuse. Then, in any triangle, the greater side is opposite the greater angle. (See 84,... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...off equal segments on any transversal, they cut off equal segments on every transversal. 2. a'. Any exterior angle of a triangle is equal to the sum of the opposite interior angles. b. The sum of the angles of a convex polygon of n sides is 2 (n — 2) right angles. 3. Any (convex)... | |
 | David Eugene Smith, William David Reeve - Mathematics - 1927 - 428 pages
...to prove the following theorems : 1. The sum of the three exterior angles of a triangle is 360°. 2. An exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. 3. The sum of the interior angles of a quadrilateral is 360°.... | |
 | Howard Whitley Eves - Mathematics - 1997 - 370 pages
...perpendicular to the radius drawn to the point of contact, establish the following chain of theorems: (a) An exterior angle of a triangle is equal to the sum of the two remote interior angles. (b) An inscribed angle in a circle is measured by one half its intercepted... | |
 | Morris Kline - Mathematics - 1998 - 980 pages
...lines are parallel. Now let us consider two lines p and q which are perpendicular (Fig. 3A-9). Since an exterior angle of a triangle is equal to the sum of the two remote interior angles, we have that A = 90°. Then tan A2 = tan(^, + 90°) = -cot A , = l... | |
 | 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... | |
 | Robert Andrew Bell - Study Aids - 1994 - 1010 pages
...measure of angle CER = 55°. Since angle RBC is an exterior angle of triangle BEC, and the measure of an exterior angle of a triangle is equal to the sum of the measurements of the two non-adjacent interior angles of the triangle, it follows that the measure... | |
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The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. 
