Question

find the value of $x$, $y$, and $z$ in the parallelogram below.
answer
attempt 1 out of 6
$x=square$ $y=square$ $z=square$

Explanation:

Step1: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal.
So, \(95^{\circ}= (7y - 10)^{\circ}\)

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Step2: Use the property of consecutive angles in a parallelogram

Consecutive angles in a parallelogram are supplementary (\(sum = 180^{\circ}\))
\(95^{\circ}+(-9x - 5)^{\circ}=180^{\circ}\)

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Step3: Use the property of opposite angles in a parallelogram

Also, \((z + 1)^{\circ}=(-9x - 5)^{\circ}\)
Substitute \(x=-10\)
\(z + 1=-9\times(-10)-5\)

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Answer:

\(x=-10\), \(y = 15\), \(z = 84\)