Question

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

Hint:

### sum of adjacent angles in a parallelogram = 180

## The correct answer is:

### 101

By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.

In this case, < WZY and < XYZ add up to give 180.

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.

### Related Questions to study

### 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.

### 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 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

### 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

### 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.

### _____________.

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 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 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

### 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

### The length of side CD is ________.

In a parallelogram, opposite angles and opposite sides are equal .

Given polygon is a parallelogram.

### The length of side CD is ________.

In a parallelogram, opposite angles and opposite sides are equal .

Given polygon is a parallelogram.

### The measure of angle K is _____.

the symmetry of the parallelogram can be a good tool to evaluate such angles and sides.

### The measure of angle K is _____.

the symmetry of the parallelogram can be a good tool to evaluate such angles and sides.

### The length of FG is ______.

Given polygon is a parallelogram.

Bisection means dividing into 2 equal parts in 1: 1 ratio.By property of parallelogram, we know that the diagonals of a parallelogram bisect each

### The length of FG is ______.

Given polygon is a parallelogram.

Bisection means dividing into 2 equal parts in 1: 1 ratio.By property of parallelogram, we know that the diagonals of a parallelogram bisect each

### The measure of is ________.

By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.

### The measure of is ________.

By angle sum property of a parallelogram, we know that sum of adjacent angles in a parallelogram = 180.

### The sum of the interior angles of a parallelogram is ______.

Sum of internal angles of a polygon =( n-2) x 180

sum of external angles of a polygon =360

### The sum of the interior angles of a parallelogram is ______.

Sum of internal angles of a polygon =( n-2) x 180

sum of external angles of a polygon =360

### The given polygon called as _____.

Nomenclature of polygons:

3 - triangle

4- qadrilateral

5- pentagon

6-hexa

7-septa

8-octa

9-nona

10-deca

and so on.

### The given polygon called as _____.

Nomenclature of polygons:

3 - triangle

4- qadrilateral

5- pentagon

6-hexa

7-septa

8-octa

9-nona

10-deca

and so on.

### Find the measure of x.

Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.

### Find the measure of x.

Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.