Question

# In the following figure, the value of x =

- 100°
- 210°
- 130°
- 110°

Hint:

### The fundamental geometric shapes are lines and angles. Infinite points that stretch infinity in both directions make up lines, which are geometric objects. Straight lines with little depth or width are present. Here we have given a figure and we have to find the value of x.

## The correct answer is: 110°

### A line is a simple, one-dimensional shape that can go on forever in opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is a geometry that results. They are expressed as radians or degrees (°). A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠".

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

Here we have given the angles A= 46, B = 38, D = 28.

Here we used the concept of linear pair and exterior angle property. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle BCD is 110 degrees.

### Related Questions to study

### Using information given in the following figure, the value of x and y is

Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angles are 65°and 110°.

### Using information given in the following figure, the value of x and y is

Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angles are 65°and 110°.

### In figure, the sides QP and RQ of are produced to points S and T respectively. If and then

Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle PRQ is 65 degrees.

### In figure, the sides QP and RQ of are produced to points S and T respectively. If and then

Here we used the concept of linear pair and angle sum property of a triangle. When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. So here the angle PRQ is 65 degrees.