 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 296 pages
...angles. For /.XBC+/. CBA = a st. /, and ZA + /.C + ZCBA = a st. Z. Exercise 24. Angles of a Triangle 1. If two angles of one triangle are equal respectively to two angles of another triangle, how do the third angles of the triangles compare in size ? Prove your statement. 2. In a draftsman's... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...In a right triangle, there are two acute angles, and their sum is one right angle. 158. COROLLARY 2. If two angles of one triangle are equal respectively to two angles of another triangle, the remaining angles are equal. 159. COROLLARY 3. If an acute angle of one right triangle is equal... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...-l. AD. ZA=ZD. Why? . = ZBCD. (Being right angles, since BC was constructed -L AD.) ZABC=ZDBC. § 32 (If two angles of one triangle are equal respectively to two angles of another, the third angles are equal.) BC = BC. Iden. Then AABC = ADBC. § 19 .'.AB = DB. §21 .'. AABD is isosceles.... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...triangle is 60°. Ex. 1. Construct angles of 30°, 15°, 75°, 7° 30', 67° 30', 165°, 150°. COR. II. If two angles of one triangle are equal respectively to two angles of a second triangle, the third angles are equal. ( FIG. 109 Hypothesis: AABC and AXYZ have £A= ZX and... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1919 - 576 pages
...angle (180°). 2. The sum of the exterior angles of a triangle is two straight angles (360°-). 3. If two angles of one triangle are equal respectively to two angles of another triangle, the third angle of the first triangle is equal to the third angle of the second. 4. The acute angles... | |
 | Harold Ordway Rugg, John Roscoe Clark - Mathematics - 1919 - 400 pages
...larger one is 72 ft. by 84 ft. If the length of the smaller one is 40 ft., what must be its width ? 9. Two angles of one triangle are equal respectively to two angles of another triangle. Are the triangles similar ? Why ? 10. Line AB is parallel to line CD. Would they meet if produced,... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1919 - 522 pages
...(180°). 2. The sum of the exterior angles of a triangle is two straight angles (360°). 3. If twp angles of one triangle are equal respectively to two angles of another triangle, the third angle of the first triangle is equal to the third angle of the second. 4. The acute angles... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Modern - 1920 - 328 pages
...triangle and parallel to the third side forms a second triangle similar to the first. 272. Corollary 2. If two angles of one triangle are equal respectively to two angles of another, the triangles are similar. 273. Gunther's scale. The adjacent figure shows a diagonal scale (enlarged)... | |
 | John Charles Stone - Mathematics - 1921 - 264 pages
...known, the third angle is also known, for the sum of all three must equal 180°. So we may say that If two angles of one triangle are equal respectively to two angles of another triangle, the two triangles are similar D ^ Observing the triangles above, AC is ^ of AB, and so is DF f of DE.... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...One and only one perpendicular can be drawn from a point to a line. 2. By construction. ' ' 3. Given. 4. If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal. 5. Obvious. 6.' If two angles and the included side of one triangle are... | |
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If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal. 
