| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...Cor. q. ED COR. The sum of the interior angles of any convex polygon together with four right angles is equal to twice as many right angles as the polygon has sides. Ex. 388. Three of the exterior angles of a quadrilateral are 79°, 117°, 65° ; find the other exterior... | |
| George Clinton Shutts - Geometry - 1904 - 112 pages
...the polygon has sides, minus four right angles. Let AD represent any convex polygon. To prove that the sum of the interior angles of the polygon is equal...many right angles as the polygon has sides, minus four right angles. Suggestion i. Connect each vertex with O, any point within the polygon. 2. If the... | |
| Education - 1904 - 938 pages
...the alternate Interior angles are equal. 5. Demonstrate: The sum of the interior angles of any convex polygon is equal to twice as many right angles as the polygon has sides, minus four right angles. 6. Show that the area of a square inscribed in a circle is equal to ane-half the... | |
| George Clinton Shutts - 1905 - 260 pages
...the polygon has sides, minus four right angles. Let AD represent any convex polygon. To prove that the sum of the interior angles of the polygon is equal...many right angles as the polygon has sides, minus four right angles. Suggestion 1. Connect each vertex with O, any point within the polygon. 2. If the... | |
| Mining engineering - 1907 - 578 pages
...degrees are there in the remaining angle? M — ///. ANS. — The sum of the interior angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles. In this case, the figure having four sides, the sum of all the interior angles... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...equal, the figure is a parallelogram Ill Polygons THEOREM XXXIII 149. The sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles . 117 THEOREM XXXIV 150. The sum of the exterior angles of a polygon farmed... | |
| Great Britain. Board of Education - Education - 1911 - 678 pages
...right angle." In the same way it was shown on the board that the sum of the interior angles of a convex polygon is equal to twice as many right angles as the polygon has sides less two. This theorem was to be repeated at the next lesson ; and the boys were asked to prove as... | |
| International Correspondence Schools - Coal mines and mining - 1913 - 360 pages
...the sum of the exterior angles will equal four right angles. 18. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. For example, the sum of the interior angles of a quadrilateral is (2X4)—... | |
| Thomas J. Foster - Coal mines and mining - 1916 - 1230 pages
...the sum of the exterior angles thus formed is equal to 360°. 24. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. For example, the sum of the interior angles of a pentagon is (2X5)— 4 = 6... | |
| Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...both equilateral and equiangular. PROPOSITION XXX. THEOREM 173. The sum of the interior angles of a polygon is equal to twice as many right angles as the polygon has sides, less four right angles. Given. A polygon having n sides. To prove that the sum of the angles is 2 n... | |
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