Find the measure of x.

If ABCDE is a regular pentagon, what is the length of side CD of the pentagon?

Find the measure of each angle of a regular hexagon.

What is the value of x?

 is a ____________.

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