Question

# The measure of is _______.

Hint:

### Polygon is a two- dimensional closed figure which is consist of three or more-line segments. Each polygon has different properties. One of the polygons is quadrilateral. Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is . Here, we have to find the measure of f in the given quadrilateral using the properties of the quadrilateral.

## The correct answer is:

### In the question there is a parallelogram PQRS as shown in the figure above.

Here, we have to find the value of f.

Since, the opposite angles of a parallelogram are equal.

So. the value of f is .

Therefore, the correct option is a, i.e., .

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### Related Questions to study

### What is the value of *m*?

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### What is the value of *m*?

Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is and sum of two consecutive angles is . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

### _______________.

### _______________.

### The measure of *x* if the perimeter of the parallelogram MNOP is 24 cm is ______.

### The measure of *x* if the perimeter of the parallelogram MNOP is 24 cm is ______.

### The side equal to OS is _______.

### The side equal to OS is _______.

### Which of the following is not true about a parallelogram?

### Which of the following is not true about a parallelogram?

### If STUV is a parallelogram, then the value of *y* must be ___________.

### If STUV is a parallelogram, then the value of *y* must be ___________.

### The length of side XY is ______.

### The length of side XY is ______.

### The given polygon is called a ___________.

### The given polygon is called a ___________.

### The sum of interior angles of an octagon is __________.

Octagon is an eight sided polygon whose sum of all angles can be determined using the formula: , where n is the number of sides of the polygon.

### The sum of interior angles of an octagon is __________.

Octagon is an eight sided polygon whose sum of all angles can be determined using the formula: , where n is the number of sides of the polygon.

### For what values of is ABCD a parallelogram?

### For what values of is ABCD a parallelogram?

### The measure of side AB is ______.

### The measure of side AB is ______.

### If AEDC is a rectangle, then the length of AE is ____.

### If AEDC is a rectangle, then the length of AE is ____.

### What is the measure of ?

properties of rectangle

opposite sides are parallel and equal to each other.

Each interior angle is equal to 90 degrees.

The sum of all the interior angles is equal to 360 degrees.

diagonals bisect each other.

Both the diagonals have the same length.

### What is the measure of ?

properties of rectangle

opposite sides are parallel and equal to each other.

Each interior angle is equal to 90 degrees.

The sum of all the interior angles is equal to 360 degrees.

diagonals bisect each other.

Both the diagonals have the same length.