 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | 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.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 336 pages
...two right angles. Prolong AC to F . Draw CE II AB. ZA = Zz. § 133 § 132 §60 §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... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...the other vertices are the opposite interior angles. [ZA and Z C.] PROPOSITION XXXIII. THEOREM 102. An exterior angle of a triangle is equal to the sum of the opposite interior angles. Given : A ABC ; exterior Z ABD. To Prove : Z ABD = ZA + Z C. ^" ~ ""... | |
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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. 
