 | George Albert Wentworth - Geometry - 1888 - 272 pages
...II to CD. QED PROPOSITION XII. THEOREM. 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. -B Let AB and CD tie two parallel lines cut by the straight... | |
 | William Chauvenet - 1893 - 340 pages
...corresponding angles are equal. 49. COROLLARY II. If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles. EXERCISE. Theorem.—A line perpendicular to one of two parallel... | |
 | University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...triangle, trapezoid, similar sectors. 2 Prove that if two parallel lines are cut by a third straight line the sum of the two interior angles on the same side of the secant- is equal to two right angles. 3 Two sides of a triangle are 6 feet and 7 feet respectively... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | 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 and... | |
 | 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... | |
 | 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... | |
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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 secant line is equal to two right angles. 
