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Since the exterior angle of a triangle is equal to the sum of the two interior opposite angles (th.
A Course of Mathematics: In Three Volumes : Composed for the Use of the ... - Page 114
by Charles Hutton - 1811

Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - 1918 - 576 pages
...are equal. COR. III. The acute angles of a right triangle are complements of each other. THEOREM lit. 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 n...

Elementary Functions and Applications

Arthur Sullivan Gale, Charles William Watkeys - 1920 - 457 pages
...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...

Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - 1922 - 236 pages
...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...

General Mathematics, Book 2

Raleigh Schorling, William David Reeve - 1922 - 460 pages
...5. 6. Or 7. But Z x is measured by BC. 1. One and only one line can be drawn between two points. 2. The exterior angle of a triangle is equal to the sum of the two remote interior angles. 3. Radii of the same circle are equal. 4. Base angles of an isosceles...

Examination Papers for Admission to the United States Naval Academy ...

United States Naval Academy - 1914 - 110 pages
...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....

Coast Artillery Field Manual

1938 - 430 pages
...0.025°. b. Construction of azimuth difference circles. — Two propositions of geometry are used: first, the exterior angle of a triangle is equal to the sum of the two opposite interior angles ; and second, an inscribed angle is measured by one-half the intercepted...

The Nineteenth Century and After, Volume 80, Part 2

1916 - 696 pages
...the centre of which is pivoted an arm fitted with backsight and foresight. Now, the angle d, being the exterior angle of a triangle, is equal to the sum of the two interior and opposite angles a and b. Hence, since d=a+Ii 6=do , That is, by subtracting a from d he arrives...

Basic Mathematics: Revision and Practice

R. Elvin, Raymond Elvin, A. Ledsham, C. Oliver - 1986 - 310 pages
...G. equilateral 2. 8cm 8cm The sum of the interior angles of a triangle is 180°. a + b + c = \80° The exterior angle of a triangle is equal to the sum of the two opposite interior angles. л л . ? x = a + b Example 1 „ А д Find the size of a, ¿>,...