Question

Parallelogram ‘BEST’ is given below. Find the measurement of angle x and

angle y.




​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

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°

hope it helps you very well

Answer 2

Answer:

HI

Opposite angles in parallelogram are equal

therefore here,

   

               X = 100

To find Y :

              T + S = 180

                    S =  180 - 100

                    S =  80

            S + Y = 180

                   Y = 100

ALTERNATE WAY TO FIND Y

    T AND S ARE ALTERNATE ANGLE

    SO T = S = 100

hope it helps : )