Question

parallelogram BEST is given bellow. find the measurement of angle x and angle y? ​

Answer 1

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Given  :-

- angle BTS = 100°

To Find

- angle X and angle Y

proof

X = 100°       [ in a parallelogram opposite angles are equal ]

angle X + angle EST  = 180°  [ in a parallelogram adjacent angle sum 180°]

so, 100 + angle EST = 180°

               angle EST = 180° - 100° = 80°

NOW :-

angle EST + angle Y = 180°    [ linear pair ]

            80° + angle Y = 180°

                      angle Y = 180 - 80  = 100°

so, angle X = 100° and angle Y = 100°