 | George Clinton Shutts - 1905 - 260 pagina’s
...perimeter of a triangle is less than twice the sum of the medians. PROPOSITION XXVIII. 119, Theorem. An exterior angle of a triangle is equal to the sum of the opposite interior angles. Let ABC represent a triangle, D AC an erterior angle, and B and C the... | |
 | Isaac Newton Failor - 1906 - 431 pagina’s
...equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION XII. THEOREM 158 An exterior angle of a triangle is equal to the sum of the opposite interior angles. HYPOTHESIS. ACD is an exterior angle of the triangle ABC. CONCLUSION.... | |
 | Edward Rutledge Robbins - 1906 - 268 pagina’s
...the triangle, at the other vertices are the opposite interior angles. [ZA and Z ('.] 108. THEOREM. 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. Proof : Suppose... | |
 | International Correspondence Schools - 1906 - 634 pagina’s
...therefore, the third angle is equal to 180° - (44° 21' 30" + 110° 53' 45") = 24° 44' 45". Ans. (4) An exterior angle of a triangle is equal to the sum of the opposite-interior angles (Art. 68) . The sum of the opposite-interior angles is, therefore, 104°... | |
 | Isaac Newton Failor - 1906 - 440 pagina’s
...equal. 157 COROLLARY 4. Each angle of an equilateral triangle is 60°. PROPOSITION XII. THEOREM 158 An exterior angle of a triangle is equal to the sum of the opposite interior angles. HYPOTHESIS. ACD is an exterior angle of the triangle ABC. CONCLUSION.... | |
 | Edward Rutledge Robbins - 1907 - 428 pagina’s
...the triangle, at the other vertices are the opposite c A interior angles. [ZA and Z cj 108. THEOREM. 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 ABU = ZA + Z C. Proof: Suppose... | |
 | Webster Wells - 1908 - 208 pagina’s
...4. Since IIs AB and CE are cut by BC, 85. We have, from § 84, ^BCD = ^a + Z b = ^A + Z B. ^ Hence, an exterior angle of a triangle is equal to the sum of the two opposite interior angles. '- The following are immediate consequences of §§ 84, 85 : rP~86.... | |
 | Louisiana. Department of Education - 1908 - 366 pagina’s
...it. one straight line intersect another straight line, the opposite angles are equal. 5. Prove that an exterior angle of a triangle is equal to the sum of their opposite interior angles. 6. Prove that if a straight line is perpendicular to one of two parallels,... | |
 | Ernst Rudolph Breslich - 1909 - 402 pagina’s
...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... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 300 pagina’s
...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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The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. 
