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find the value of $x$, $y$, and $z$ in the parallelogram below. answer …

Question

find the value of $x$, $y$, and $z$ in the parallelogram below.
answer attempt 1 out of 2
$x =$ $y =$ $z =$

Explanation:

Step1: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal. So, \(4x - 9=101\)

$$ LATEXBLOCK0 $$

Step2: Use the property of consecutive angles in a parallelogram

Consecutive angles in a parallelogram are supplementary. So, \((2y + 1)+101 = 180\)

$$ LATEXBLOCK1 $$

Step3: Use the property of opposite angles in a parallelogram

Also, \(4z + 3=101\)

$$ LATEXBLOCK2 $$

Answer:

\(x = 27.5\), \(y = 39\), \(z = 24.5\)