Question

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

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, \(4z + 3=180-101\) (since consecutive angles are supplementary and opposite angles are equal). So \(4z+3 = 79\)

$$
LATEXBLOCK2
$$

Answer:

\(x = 27.5\), \(y = 39\), \(z = 19\)