Question

Find the measures of x,y,z (parallelogram)
Also mention the properties
plz answer
I will follow the right... ​

Answer 1

The opposite angles of a parallelogram are equal. So, z =138° and x=y

Also, the given figure is a quadrilateral so, the sum of the angles is 360°.

Hence by substituting the value of z,

138°+x+y+z=360°

We can write x instead of y. So,

138° + x + x + 138° = 360°

=> 2x + 276° = 360°

=> 2x = 360° - 276°

=> 2x = 84°

=> x = 84/2

=> x = 42

Hence, x = 42°, y = 42° and z = 138°

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