 | William Ledley Vosburgh - 1919 - 332 pages
...of the isosceles triangle. 7. Find the value of each angle of an equilateral triangle. 8. Prove that an exterior angle of a triangle is equal to the sum of the two opposite interior angles. (SUGGESTION. In Fig. 116, extend AB through B; draw a line through... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...prolongation of an adjacent side. In the preceding diagram •& RAB is an exterior angle of the &ABC. Cor. 4. An exterior angle of a triangle is equal to the sum of the non-adjacent interior angles. EXERCISES. SET XXIV (continued) 182. (a) The theorem that the sum... | |
 | Robert Remington Goff - 1922 - 136 pages
...transversal equals two right angles. *42. The sum of the angles of a triangle equals two right angles. *43. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 44. // two angles of one triangle equal two angles of another triangle,... | |
 | Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...figure in Section 77. Draw a triangle and construct and read all its exterior angles. 86. Corollary. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. THEOREM IX 87. The sum of the angles of a polygon of n sides is equal... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...272. The altitudes upon the arms of an isosceles triangle are equal. PROPOSITION XXIII. THEOREM 117. An exterior angle of a triangle is equal to the sum of the two remote interior angles. Given the ext. Z. ACD of A ABC. To prove Z ACD = ZA + Z B. HINT. Draw... | |
 | 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... | |
 | 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°.... | |
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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. 
