 | ʻAbd al-ʻAlī ibn Muḥammad ibn Ḥusayn Birǧandī - Social Science - 2002 - 304 pages
...Add. Let us mention the principle concerning this. However, it is established on the condition that an exterior angle of a triangle is equal to (the sum of) the two interior (angles) opposite (to it). This is not correct in the case of a triangle resulting... | |
 | Education - 2003 - 232 pages
...triangle) so x = b + c The exterior angle of a triangle is made by extending one of the sides. The exterior angle of a triangle is equal to the sum of the two opposite interior angles of the triangle. Example Calculate the size of the lettered angles. Give reasons for your answers.... | |
 | Susan Ball, Sue Briggs, Margaret Mackenzie - 2003 - 212 pages
...facts that have already been proved, copy and complete the following proofs. a. B is shaded red The exterior angle of a triangle is equal to the sum of the two opposite interior angles. b. Ld = ^a + ^b (exterior angle is equal to the sum of the two opposite interior angles) td+ ^c= 180°... | |
 | Chris Pritchard - Mathematics - 2003 - 572 pages
...tWS = VI0.v; VS = V5x. so - = --=- = V2 VS Thus A's VUS, SU Ware similar and so LWSU = LSVU = b but, an exterior angle of a triangle is equal to the sum of the opposite interior angles ie LSUT = LUWS + LWSU c = a + b Second Proof 1 1 L + \ a + b = tan"1 -... | |
 | Gary R. Jensen - Education - 2003 - 402 pages
...two angles of the triangle are called the opposite angles of the given exterior angle. (a) Prove that an exterior angle of a triangle is equal to the sum of its two opposite angles. (b) How many degrees in the angle questioned? Explain your answer. (16) Here... | |
 | Thomas Campbell - Geometry - 2003 - 216 pages
...angles formed by one triangle and the extension of one side at one vertex. The corollary states that "an exterior angle of a triangle is equal to the sum of the remote interior angles of that triangle." Another way to say this, in reference to the diagram... | |
 | Clayton W. Dodge - Mathematics - 2004 - 310 pages
...Parallelism of lines is transitive. 31. To draw a line through a point parallel to a given line. 32. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of the angles of a triangle is equal to two right angles. 33. The segments joining corresponding... | |
 | M. J. Tipler - Juvenile Nonfiction - 2004 - 468 pages
...angles of a triangle add to 180° Example m + 57° + 64° = 1 80° m = 180° -57° -64° = 59° The exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example / = 47° + 58° = 105° Practice Questions 4, 5, 17, 40 Angles at a point add to 360°. Parallel... | |
 | Maryanne Tipler - Mathematics - 2004 - 150 pages
...triangles Angle x is an interior angle of the triangle. Angle v is an exterior angle ol the triangle. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. „pie / = 47° + 58c = 105° Quick questions Find the value x. ab These are the points you need to... | |
 | Dave Kirkby - Education - 2004 - 252 pages
...A proof is a way of showing a fact is always true. See the example below. A/ Example Prove that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. r + s + 0( = 1g>0° <\ + p = 180° r+s + oi=q + p r+ s = p This proves tnat p, the exterior angle,... | |
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An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 
