| James McMahon - Geometry, Plane - 1903 - 380 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
...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 - 110 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
...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 Albert Golding - Engineering - 1909 - 558 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 - 1032 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
...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
...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 - 1446 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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