| John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...of the triangle. Thus ' 73 C "^ DCA (Fig. 73) is an exterior angle of PLANE GEOMETRY 186. THEOREM. An exterior angle of a triangle is equal to the sum of the opposite interior angles. D FIG. 74. (The proof is left to the student.) 187. COBOLLABY. An exterior... | |
| William Betz - Geometry - 1916 - 536 pages
...+ Zq Ax. 2 4. But Zp + Z o + Z q = a st. Z. Why ? .-.Zm + Zo + Zn = ast. Z. Ax. 1 181. COROLLARY 1. An exterior angle of a triangle is equal to the sum of the two remote interior angles, and is therefore greater than either of them. 182. COROLLARY 2. If... | |
| Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...384. The sum of the exterior angles of a triangle, taking one at each vertex, is 360°. (115) 385. An exterior angle of a triangle is equal to the sum of the two remote interior angles. (118), (199) 386. If the angles of one triangle are respectively equal... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...the base of an isceles triangle perpendicular to the arms are equal. PROPOSITION XXIII. THEOREM 117. An exterior angle of a triangle is equal to the sum of the two remote interior angles. B c " Given the ext. Z ACD of A ABC. To prove Z ACD = ZA + Z B. HINT.... | |
| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...to an acute angle of another right triangle, the remaining acute angles are equal. 160. COROLLARY 4. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Suggestion. Zl + Z2+Z3 = 2rt. A, Euclid (about 330-275 BC-), a famous... | |
| Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...Theorem. The sum of the angles of a triangle is equal to 180°, or two right angles. § 144. Theorem. An exterior angle of a triangle is equal to the sum of the opposite interior angles, and is therefore greater than either of them. § 146. Theorem. In a triangle,... | |
| Herbert Ellsworth Slaught - 1918 - 344 pages
...to an acute angle of another right triangle, the remaining acute angles are equal. 160. COROLLARY 4. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Suggestion. Zl + Z2+z3 = 2rt. A, Euclid (about 330-275 BC). a famous... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...Prolong AC to F. Draw CE-\\ AB. Z4 = Zz. § 133 §132 ' = 180°. §60 = 180°. §111 144. Theorem. An exterior angle of a triangle is equal to the sum of the opposite interior angles, and is therefore greater than either of them. §105 Why? .'. ZBCF>ZA... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1919 - 520 pages
...acute angles are 30° and 60° the side opposite the 30-degree angle is one half the hypotenuse. 6. An exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles. 7. The sum of the interior angles of a quadrilateral- is four... | |
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