Verify that parallelogram ABCD with vertices A(-5, - 1), B(-9, 6), C(-1, 5), and D(3, -2) is a rhombus by showing that it is a parallelogram with perpendicular diagonals.

Angle 8 = 60°

Step-by-step explanation:

See the attached diagram.

The measurement of angle 2 is 60°.

Now, angle 2 = angle 4 as they are equal vertically opposite angles.

Hence, angle 4 = 60°

Now, horizontal lines AB ║ CD and the inclined line is the transverse line.

Hence, angle 4 and angle 8 are corresponding angles.

Therefore, angle 4 = angle 8 = 60° (Answer)