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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. "
Plane Geometry - Page 42
by Edward Rutledge Robbins - 1906 - 254 pages
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First-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Mathematics - 1909 - 402 pages
...and the angles. 10. Show that the sum of the interior angles of a triangle is 180°. 11. Show that an exterior angle of a triangle is equal to the sum of the two remote interior angles. 12. What is meant by a parallelogram ? 13. Prove that the opposite...
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...propositions has been studied extensively during the last two centuries. RECTILINEAR FIGURES. 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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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...interdependence 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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Second-year Mathematics for Secondary Schools, Volume 2

George William Myers - Mathematics - 1910 - 304 pages
...of another, the third angles are equal, and the triangles are mutually equiangular. 12. Prove, that an exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle. 13. One base angle of an isosceles triangle is ^...
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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 and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...with respect to the exterior angle n, A and C are the opposite interior angles. PROPOSITION XIX. 105. THEOREM. An exterior angle of a triangle is equal...sum of the opposite interior angles. Given. A ABC with exterior angle DAC. To Prove Z DAC = ZB + L C. SUG. 1. Through the vertex A draw line MN II EC....
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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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