Question

relationships you used.
a.
x =
n:
r:

Explanation:

Step1: Use the property of parallelogram (alternate - interior angles)

In a parallelogram, the sum of angles in a triangle formed by the diagonal is \(180^{\circ}\). We know that one angle is \(71^{\circ}\) (given) and another is \(58^{\circ}\) (alternate - interior angle property in parallelogram). Let \(x\) be the unknown angle.
We use the angle - sum property of a triangle: \(x + 58^{\circ}+71^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(x = 51^{\circ}\)