Find the value of X , Y, and z in the parallelogram below.

x = 67y = 121z = 65

Step-by-step explanation:

We know that:

y - 9 + x + 1 = 180z + 3 + 112 = 180y - 9 + z + 3 = 180x + 1 + 112 = 180y - 9 = 112x + 1 = z + 3y - 9 + x + 1 + z + 3 + 112 = 360

Solution of x:

x + 1 + 112 = 180 => x + 113 = 180=> x = 180 - 113=> x = 67

Solution of y:

=> y - 9 + x + 1 = 180=> y - 9 + 67 + 1 = 180=> y + 59 = 180=> y = 180 - 59=> y = 121

Solution of z:

=> x + 1 = z + 3=> 67 + 1 = z + 3=> 68 = z + 3=> z = 68 - 3=> z = 65

Hence, the answers are:

x = 67y = 121z = 65

Check:

y - 9 + x + 1 + z + 3 + 112 = 360=> 121 - 9 + 67 + 1 + 65 + 3 + 112 = 360=> 360 = 360

Hence, the answers are proved as correct.

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