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The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles. Try moving the points below. Notice that the 4 angles are actually two pairs of vertical angles:.
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The Sine Rule. The ratio of the length of a side of a triangle to the sine of the angle opposite is constant for all three sides and angles. So, in the diagram below: a / sine A = b / sine B = c / sine C. Now, you can check the sine of an angle using a scientific calculator or look it up online.
*What is the relationship between vertical angles, between two angles that are supplementary to the same angle, and between two angles that are complementary to the same angle?-If any two angles form a linear pair, then they are supplementary angles. Page 3. Powered by Create your own unique website with customizable templates. The bottom edge of the triangle is the horizontal component and the side opposite the angle is the vertical component o [ lALlslJ rrwibgzhPtxsh orSeWskeCravOe\dX Key vocabulary that may appear in student questions include: angle, adjacent angles, right angle, supplementary, complementary, vertical angles, acute angle, obtuse angle, horizontal.