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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. "
Elements of Geometry - Page 79
by Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 pages
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...of these two propositions has been studied extensively during the last two centuries. 103. THEOREM. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The proof is left to the student. Compare this theorem with that...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...exterior angle of a triangle is greater than either of the non-adjacent interior angles. 158. COR. 3. An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles. 159. COR. 4. If two triangles have two angles of the one equal...
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Plane Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...angle and the two remote interior angles of the triangle ? B' B ff PROPOSITION XXVIII. THEOREM 215. -An exterior angle of a triangle is equal to the sum of the two remote interior angles. B CD Given £\ABC with Z.DCB an exterior Z. To prove Z DCB = ZA + Z...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...What is the value of the third angle ? 12. Verify by measurement the fact (to be proved later) that an exterior angle of a triangle is equal to the sum of the two remote interior angles. CLASSIFICATION OF TRIANGLES BASED ON ANGLES 47. A triangle, one of...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...What is the value of the third angle ? 12. Verify by measurement the fact (to be proved later) that an exterior angle of a triangle is equal to the sum of the two remote interior angles. CLASSIFICATION OF TRIANGLES BASED ON ANGLES 47. A triangle, one of...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 230 pages
...hypotenuse and a side of one are equal respectively to the hypotenuse and a side of the other. 213. An exterior angle of a triangle is equal to the sum of the two remote interior angles. 216. The sum of all the angles of any polygon is twice as many right...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...The altitudes upon the arms of an isosceles triangle are equal. 60 PROPOSITION XXIII. THEOREM 117. An exterior angle of a triangle is equal to the sum of the two remote interior angles. cw Given the ext. Z ACD of A ABC. To prove Z ACD = ZA + Z B. HINT....
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The Practical Railway Spiral

Leonard Crouch Jordan - Railroads - 1913 - 232 pages
...central angle between these two points. This is really a different manner of expressing the theorem " An exterior angle of a triangle is equal to the sum of the two opposite interior angles." 17. Corresponding Fore Sights and Back Sights Unequal. The fore...
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 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. B A Given the ext. Z ACD of A ABC. C To prove' Z ACD = Z A + Z B. HINT....
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Plane Geometry

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 angle of a triangle is greater...
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