Question

problem 17: (first taught in lesson 51)
find x, y, and z.
after you enter your answer press go.
x = y =
z =

Explanation:

Step1: Use the property of consecutive angles in a parallelogram

In a parallelogram, consecutive angles are supplementary. So, \((5x + 45)+20x=180\)

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Step2: Find \(y\)

In a parallelogram, opposite angles are equal. \(y = 5x+45\)
Substitute \(x = 5.4\) into \(y\): \(y=5\times5.4 + 45=27+45 = 72\)

Step3: Find \(z\)

In a parallelogram, opposite angles are equal. \(z = 20x\)
Substitute \(x = 5.4\) into \(z\): \(z=20\times5.4=108\)

Answer:

\(x = 5.4\), \(y = 72\), \(z = 108\)