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" If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p. "
An Elementary Course of Plane Geometry - Page 68
by Richard Wormell - 1870 - 16 pages
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...Z; an(ia = 2 d, how large is each of the other angles ? 94. If a transversal outs two lines making the sum of the two interior angles on the same side of the transversal a straight angle, one of them being 30° 27', how large is each of the other angles ? Theorem 16. If...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...Z> an1l a = 2 d, how large is each of the other angles ? 94. If a transversal cuts two lines makmg the sum of the two interior angles on the same side of the transversal a straight angle, one of them being 30° 27', how large is each of the other angles ? 95. If a transversal...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 224 pages
...degrees are there in the sum of dand/? 120. When two parallel lines are crossed by a transversal, what is the sum of the two interior angles on the same side of the transversal ? PRINCIPLE 15. — When two parallels are cut by a, transversal, the sum of the interior angles on...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...these two straight lines are parallel. 109. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles. 110. When two straight lines are cut by a third straight line, if the two interior angles...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...Proposition V. PROPOSITION XI. THEOREM 47. If two parallel lines are cut by a third straight /ine, the sum of the two interior angles on the same side of the cutting line is two right angles. [Converse of Proposition IX.J o/ B A& D GIVEN—AB and CD parallel...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...preceding figure. PROPOSITION XI. THEOREM 47. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the cutting line is two right angles. [Converse of Proposition IX. J V. GIVEN — AB and CD parallel...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...two lines is equal to four right angles. 22. If two straight lines are cut by a third line, making the sum of the two interior angles on the same side of the transversal less or greater than two right angles, the lines are not parallel. 23. The shortest line that can be...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...EXERCISES. 1. Prove that the alternate-exterior angles are equal, or Z EGA = Z DHF, or Z EGB = Z ClIF. 2. Prove that the sum of the two interior angles on the same side of the cutting line, or transversal, are equal to two right angles. SUGGESTION. /.AGH= Z GHD ; add Z GHC....
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 284 pages
...figure are equal ? 76. Cor. II. If two parallels are cut by a transversal, the sum of the interior angles on the same side of the transversal is equal to two right angles. (Fig. of Prop. XXI.) Given IIs AB and CD cut by transversal EF at points G and H, respectively....
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 404 pages
...when cut by a transversal the corresponding angles are equal. § 77 d. If when cut by a transversal the sum of the two interior angles on the same side of the transversal is equal to two right angles. § 79 e. If both are parallel to a third line. § 80 /. If they are the bases of a trapezoid....
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