Question

Find the value of x, y,z in the following parallelogram
Please give step by step explanation.

Answer 1

Step-by-step explanation:

10x+8x=180°(consecutive angles)

18x=180°

x=10°…………(1)

8x = y {opposite angles are equal}

80°=y……(x=10°)

similarly,

10x=z

100°=z

hope it is helpful...........

Answer 2

Answer:

first let us find x,

x=      

10x +8x= 180 degrees (adjacent angles in a parallelogram are supplementary)

18x = 180 degrees

x = 180/18

  = 10 degrees

y = 8x (opposite angles are equal)

y = 8 * 10

    80 degrees

z= 10x  (opposite angles are equal)

 = 10*10

    = 100 degrees

therefore  x=10 degrees

               y=80 degrees

                z=100 degrees

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