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To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
A complete system of mensuration, with additions by J. Trotter - Página 144
por Alexander Ingram - 1851
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## Artillery Notes..., Temas26-31

.../—The determination of these circles depends on the two following propositions of geometry: namely, the exterior angle of a triangle is equal to the sum of the two opposite interior angles; and, secondly, an inscribed angle is measured by one-half the arc...
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## First-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - 1909 - 344 páginas
...8. // two angles have their sides parallel respectively they are either equal or supplementary. 9. The exterior angle of a triangle is equal to the sum of the two remote interior angles. 11. The consecutive angles of a parallelogram arc supplementary. 217....
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## Notes on Physics

Benjamin Warner Snow - 1909 - 808 páginas
...at the second surface, so that D = d+d'. But d = i — r. and d'=V— r', therefore But r + r' = A, (the exterior angle of a triangle is equal to the sum of the two opposite interior angles), where A is equal in magnitude to the angle of the prism (their sides...
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## School Work, Volumen3

1904
...ABC. Give reasons. If a few more exercises of this type are given the children should observe that the exterior angle of a triangle is equal to the sum of the two remote interior angles. 2. Draw a scalene triangle ABD, then draw the line A C. Suppose that...
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## A Budget of Paradoxes, Volumen2

Augustus De Morgan - 1915
...Proposition 32, Book 1, proved to lie fallacious (Liverpool, 1870). This is the theorem which asserts that the exterior angle of a triangle is equal to the sum of the two opposite interior angles, and that the sum of the interior angles equals two right angles....
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## Plane Geometry

Edith Long, William Charles Brenke - 1916 - 276 páginas
...straight angle. Z BAC + Z ACB + Z CBA = a straight angle. Why? State the theorem proved. Corollary 1. The exterior angle of a triangle is equal to the sum of the interior angles not adjacent to it. Corollary 3. // two angles of a triangle are equal respectively...
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## Plane Geometry

Edith Long, William Charles Brenke - 1916 - 276 páginas
...or supplemental. Theorem XX. The sum of the angles of a triangle is a straight angle. Corollary 1. The exterior angle of a triangle is equal to the sum of the interior angles not adjacent to It. Corollary 2. A triangle can have but one right angle or one...
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## ELEMENTARY FUNCTIONS AND APPLICATIONS

...triangle bisects the base perpendicularly. (b) In any plane triangle the sum of the angles is 180°. (c) The exterior angle of a triangle is equal to the sum of the two opposite interior angles. (d) In a right triangle the square on the hypotenuse is equal to...
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## Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - 1922 - 218 páginas
...are equal. COR. III. The acute angles of a right triangle are complements of each other. THEOREM 19. The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.^ ^ THEOREM 20. The sum of the interior angles of a polygon of...
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## Examination Papers of Admission to the United States Naval Academy ...

...No smooth copy is required- Pencil may be used for all mathematical work. Question 1. (a) Prove that the exterior angle of a triangle is equal to the sum of the interior opposite angles of the triangle, and thence find the sum of the angles of the triangle....
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