...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,...

...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...

...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...

...[Prop. 1.8]. But D AC is a right-angle. Thus, ВАС is also a right-angle. Thus, if the square on one of the sides of a triangle is equal to the (sum of the) squares on the remaining sides of the triangle then the angle contained by the remaining sides...

...4. Angle sum of a triangle = 1 80° 5. Angle sum of a quadrilateral =360° Le. 6. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. (B) Properties of Polygons 7. Angle sum of any polygon = (n - 2) x 1 80° where n = number of sides...

...are perpendicular to the sides of the other, respectively. Because of the fact that an exterior angle of a triangle is equal to the sum of the two opposite interior angles, it follows that — In triangle IHE, IEH+IEH=FIH=a IEH=a-IHE=ab=VIZ. CARE AND ADJUSTMENT OF INSTRUMENTS...

...the roots are 7 and — 3. GEOMETRY. Demonstrate the following propositions: 1. Any exterior angle of a triangle is equal to the sum of the two opposite interior angles. 2. If the squares of the sides of a quadrilateral are together equivalent to the squares of the diagonals,...