 | James McMahon - Geometry, Plane - 1903 - 382 pages
...angles. Sum of two angles of a triangle. 128. THEOREM 24. When any side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. Let the side AC of the triangle ABC be extended to E. E To prove that the exterior... | |
 | William Chauvenet - 1905 - 336 pages
...angles of any triangle is equal to two right angles. Corollary. If one side of a triangle is extended, the exterior angle is equal to the sum of the two interior opposite angles. PROPOSITION XXVII. The sum of all the angles of any convex polygon is equal to twice... | |
 | 1906 - 576 pages
...triangle in marking out work, and the methods of are together equal to two right angles. 5. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. RIGHT making angles of different degrees both with compasses and set squares are given,... | |
 | Lawrence Robert Dicksee - Accounting - 1907 - 128 pages
...How would you test, on your drawing board, the truth of a straight edge ? Q. 2* — Show that, if a side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Q. 3. — Show how you would construct triangles, given the following data : — (i.)... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...of this proof the following most important property has been established. If a side of a triangle is produced the exterior angle is equal to the sum of the two interior opposite angles. INFERENCES FROM THEOREM 16. 1. If A, B, and C denote the xumber of degrees in the... | |
 | Charles E. Larard, Henry A. Golding - Engineering - 1909 - 556 pages
...beam would support a load equal to the reduced weight of the beam. CHAPTER II. TECHNICAL MENSURATION. IF any side of a triangle be produced, the exterior angle is equal to the sum of the two interior opposite angles. ^:A = ^B + ^C(fig. 1). The sum of the three interior angles of any triangle is equal... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...the included angle of another triangle, the triangles are equal in all respects. 2. Prove that if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 3. From the angular points S, C of a triangle ABC, perpendiculars BQ, CR are drawn... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...the included angle of another triangle, the triangles are equal in all respects. 2. Prove that if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 3. From the angular points B, C of a triangle ABC, perpendiculars BQ, CB are drawn... | |
 | Newfoundland Council of Higher Education - 1912 - 300 pages
...CX are joined. Prove that BY — CX. (14) C 6. Prove that, if a side of a triangle be produced, then the exterior angle is equal to the sum of the two interior opposite angles, and also that the sum of the angles of a triangle is equal to two right, angles. Calculate... | |
 | 1915 - 1436 pages
...which form the right angle. i _^ к 1 я a« = 4» + f'. Av If one side of a triangle is produced, then the exterior angle is equal to the sum of the two interior opposite angles. AV\ Angle D — angle A + angle B. 3SC If two lines intersect, then the opposite angles... | |
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If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. 
