Answer:
For the given quadrilateral the value of p is 8, UV = 70 and VW = 34. The property of parallelogram used is the opposite sides are parallel and equal.
Explanation:
A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides consist of equal length, and the opposing angles are of equal size. Also, the interior angles that are additional to the transversal on the same side. 360 degrees is the total of all interior angles.
The opposing sides are equal and parallel. Angles on either side are equivalent. All of the angles will be at right angles if any one of them is a right angle.
We know that the opposite sides of a parallelogram are parallel and equal making this:
8p + 6 = 9p – 2
6 + 2 = 9p – 8p
8 = p
Now, the value of side is:
UV = 8(8) + 6 = 70
The value of side VW is:
VW = 5(8) – 6 = 34
The given quadrilateral the value of p is 8, UV = 70 and VW = 34. The property of parallelogram used is the opposite sides are parallel and equal.