The measure of  _________.

Find the value of x.

What is the sum of interior angles of a triangle?

the sum of interior angles of a triangle = 
the sum of exterior angles of a triangle = 

____________.

The alternate angle theorem states that when two parallel lines ( AB and CD) are cut by a transversal (here DB ), then the resulting alternate interior angles or alternate exterior angles are equal

The value of k is _____.

we can also conclude that PR = QS by simply observing the symmetry of the figure. However, mathematical reasoning should also be acknowledged. In a parallelogram, opposite angles and sides are equal 

Find the value of x.

In a parallelogram, opposite angles and sides are equal . in this case, angles B= D and A = C. 

____________.

The <USR = 110 degree.
<TUS=180 – 110 = 70 degree
<RSQ = <TUS = 70 degree ( corresponding angles)

What is the measure of angle Y of the given parallelogram?

Given polygon is a parallelogram. We know that sum of adjacent angles in a parallelogram = 180. We can also find <ZWX using the same property, which is opposite to angle Y and will have the same value, i.e. 101 degrees.

What is the perimeter of the given parallelogram

We can also directly find out the perimeter by using the property , insteadof finding the alues of AD and AB.
perimeter = 2 x ( BC + CD)
this is possible due to the fact that opposte sides are equal in a paarallelogram.

Find the measure of AD.

Given polygon is a parallelogram.
In a parallelogram, opposite angles and sides are equal . therefore, AB= CD and AD = BC

Find the length of WO.

Bisection means dividing into 2 equal parts in 1: 1 ratio. Given polygon is a parallelogram. we know that the diagonals of a parallelogram bisect each other

What is the measure of each angle of the given polygon?

all angles in a regular polygon are equal. a regular polygon is a polygon in which all sides are equal.
interior angle of a polygon = sum of interior angles ÷ number of sides

_____________.

A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other. We can also find angle PXQ and subtract that from 360 degrees to get the required result. This is possible due to the symmetry of the figure.

The measure of  is ______________.

Sum of internal angles of a polygon =( n-2) x 180
for a triangle, n = 3
= (3-1) x 180 = 180 degrees.

The value of  is ________.

In a parallelogram, opposite angles and sides are equal . in this case, angles A= C and B= D. also, AB = CD and AD = BC

The measure of angle X is ______.

In a parallelogram, opposite angles and sides are equal . in this case, angles W= Y and X = Z. also, WX = YZ and WZ = XY