Question

q1: mathspace assignment #4: q... 6. find the value of x in the parallelogram.

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, adjacent - angles are supplementary (their sum is 180°).

Step2: Set up an equation

Let the given angle be 106° and the unknown angle be \(x\). Then \(x + 106^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract 106° from both sides of the equation: \(x=180^{\circ}- 106^{\circ}\).
\(x = 74^{\circ}\)

Answer:

\(74^{\circ}\)