| Royal Geographical Society (Great Britain) - 1906 - 514 pages
...rays = Z_ BE 6 ; and .'. Z ab B = 2 Z pb B, and Z&BE = 2Z&BP, FIG. But and - Z &B P = Z &PB because **the exterior angle of a triangle is equal to the sum of** the interior and opposite angles; instrument, is divided into 10' or 20', and those are subdivided... | |
| Ernst Rudolph Breslich - 1909 - 402 pages
...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.... | |
| Benjamin Warner Snow - 1909 - 810 pages
...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... | |
| 1904 - 484 pages
...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... | |
| Augustus De Morgan - 1915 - 508 pages
...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.... | |
| Edith Long, William Charles Brenke - 1916 - 292 pages
...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... | |
| Edith Long, William Charles Brenke - 1916 - 292 pages
...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... | |
| 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... | |
| 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... | |
| 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... | |
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