Question

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

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 value of x in the given quadrilateral using the properties of the quadrilateral.

## The correct answer is:

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

Here, we have to find the value of x in the above figure.

Since, the consecutive angles of a parallelogram are supplementary.

Thus, the value of x is .

Therefore, the correct option is b, 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 must be the value of if EFGH is a parallelogram?

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 must be the value of if EFGH is a parallelogram?

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 angle V is _________.

### The measure of angle V is _________.

### If ABCD is a parallelogram, then the value of *y* is ________.

### If ABCD is a parallelogram, then the value of *y* is ________.

### The measure of is _______.

### The measure of is _______.

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

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

### _______________.

### _______________.

### 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.