Page 149 - Math Smart - 7
P. 149

Example 1



            In
       0 triangle STU, aSTU = 65° and ^SUT=SO°.
           fmd^TSU.

            Solution
           Z7"5t;=180°-65°-80°
                 = 35°





            In
       0 triangle XYZ, ZXYZ= 125° and ZYXZ=2S°.
            Find ZXZK

            Solution
            v^XZy=180°-28°-125'
                 = 27°





       0 triangle -460, ZBAC=S2° and ZACB is a right angle.
            In
            Find AABC

            Solution                                                                     A right triangle has one
                                                                                         right angle. The other two
            ^-406=90°
                                                                                         acute angles add up to be
            Z7\fiC=90°-52^                                                               90°.
                 = 48°





       0 DEFls an equilateral triangle. Find the sum of ZfDFand ZDFE.


            Solution                                                ^
            Each angle of an equilateral triangle = ^ degrees = 60                       An equilateral triangle
            Sum of /.FDFand ZDFE= 60° + 60°                                              has three equal angles
                                  = 120°                                                 and three equal sides.
                                                                                         Each angle is 60°.
            The sum of ZfDFand ADFE Is 120°.
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