 If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal.  General Mathematics - Page 41by Raleigh Schorling, William David Reeve - 1922Full view - About this book
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...Proof. Draw BC JL AD. Why? (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.... | |
 | William Betz - Geometry - 1916 - 536 pages
...of the two remote interior angles, and is therefore greater than either of them. 182. COROLLARY 2. If two angles of one triangle are equal respectively to two angles of another triangle, the third angles are equal. 183. COROLLARY 3. Two triangles are congruent if a side and any two angles of one... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...triangle is equal to the sum of the interior angles not adjacent to it. Corollary 3. // two angles of a triangle are equal respectively to two angles of another triangle, the third angles are equal. Corollary 4. // two triangles have two angles and any side of one equal respectively... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...triangle is equal to the sum of the interior angles not adjacent to it. Corollary 3. // two angles of a triangle are equal respectively to two angles of another triangle, the third angles are equal. Corollary 4. // two triangles have two angles and any side of one equal respectively... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 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 to an... | |
 | 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 to an... | |
 | 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... | |
 | 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... | |
 | 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,... | |
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