...are 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...

...adds to the stock of our knowledge something new, -.vhich we have not known before. In proving that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the same, we amplify our knowledge of the triangle by mere ratiocination,...

...ZABC+ZC+ZA = 2rt. Zs. (Ax. 1) QED 98. COR. 1. Since Z EBD = ZA, and Z ORE = ZC, . -.ZCBD =ZA + ZC. Hence, the exterior angle of a triangle is equal to the sum of the two opposite interior angles. 99. COR. 2. If two angles of a triangle, are given, or merely their...

...Fio. 21. The other form into which our proposition may be thrown is that either of the exterior angles of a triangle is equal to the sum of the two interior angles opposite to it. For, in the figure, the exterior angle A c D, together with A c B, makes two...

...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 two right angles....

...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 two right angles....

...equiangular triangle, each angle is one-third of two right angles, or two-thirds of one right angle. 145. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. 146. Cor. The exterior angle of a triangle is greater than either...

...: AP. PB=AiPi. PiBi. Brown University, June, 1896. 1. Have you been over all the required work ? 2. The exterior angle of a triangle is equal to the sum of the opposite interior angles. 3. Find a point equidistant from two given points P and Q, and at a given...

...prove: AP. PB=A, PL P!Bi. Brown University, June, 1896. 1. Have you been over all the required work ? 2. The exterior angle of a triangle is equal to the sum of the opposite ulterior angles. 3. Find a point equidistant from two given points P and Q, and at a given...

...12. Two angles whose sides are perpendicular, each to each, are either equal or supplementary. 13. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. 14. Two right angles are equal if the hypotenuse and an acute angle...