 | Edward Olney - Geometry - 1872 - 472 pages
...formed by any side with its adjacent side produced, as CBD, Fig. 174. PROPOSITION IT* 231. TJteorem. — An exterior angle of a triangle is equal to the sum of the two interior non-adjacent angles. DEM. — Let ABC be any triangle, and CBD an exterior angle;... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...formed by any side with its adjacent side produced, as CBD, Fig. 174. PROPOSITION IT. 231. TJieorem. — An exterior angle of a triangle is equal to the sum of the two interior non-adjacent angles. DEM. — Let ABC be any triangle, and CBD an exterior angle;... | |
 | George Albert Wentworth - 1884 - 264 pages
...equal. 31. Corollary II. The sum of the acute angles of a right triangle is equal to 90°. 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 33. Theorem. The sum of the angles of a quadrilateral is equal to... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...and ACB is equal to the sum of the angles ECD, BCE, and ACB, which is two right angles by § 33. 71. COROLLARY I. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. For, Z BCD = Z ECD + Z BCE = ZA + ZB. 72. COROLLARY II. If the sum... | |
 | Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...Fig. 52, are exterior angles. The last theorem now naturally leads to the following : — Theorem. — An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The angles d and CAB, Fig. 53, arc together equal to two right angles,... | |
 | Education - 1889 - 716 pages
...equal. 15. How does a scalene triangle differ from an equilateral triangle 7 16-18. Prove that the exterior angle of a triangle is equal to the sum of the two opposite-interior angles. I'.i. What is a right angle ? 20-22. Prove that two right angles are equal when the hypotenuse and... | |
 | George Albert Wentworth - 1889 - 264 pages
...31. Corollary II. The sum of the acute angles of a right triangle is equal to 90°. ~ , 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 33. Theorem. The sum of the angles of a quadrilateral 'is equal to... | |
 | George Albert Wentworth - 1889 - 276 pages
...Corollary II. The sum of the acute angles of a right triangle is equal to 90°. y i /" / 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. X 33. Theorem. The sum of the angles of a quadrilateral is equal... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...6. Construct a right-angled triangle, having given one side and the angle opposite. PROPOSITION 32. An exterior angle of a triangle is equal to the sum of the two interior opposite angles; and the sum of the three interior angles of a triangle is equal to... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...perimeter of a triangle is less than twice the sum of the medians. PROPOSITION XXVIII. 119. Theorem. An exterior angle of a triangle is equal to the sum of the opposite interior angles. Let ABC represent a triangle, D AC an exterior angle, and В and С the... | |
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The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. 
