Maths-
General
Easy
Question
In the given figure,
is parallel to CD, then x =
![](data:image/png;base64,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)
- 45°
- 55°
- 65°
- 75°
Hint:
In this question, we have to find the value of x using the figure given. For that first we will extended of the parallel line such that they intersect with a common transversal. Later using some common theorems like angle properties of parallel lines or of triangle.
The correct answer is: 65°
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/857990/1/940647/x.png)
Extended CD to G so that it intersect EB at F
Now, GD II AB and EB is transversal
So,
EFG =
EBA =140
[corresponding angles]
Also, As GD is a straight line.
ECG +
ECD = 180
[sum of angles in a straight line is 180
]
![rightwards double arrow](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAKCAYAAAC0VX7mAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAADlJREFUeNpjYCANlAAxHwMVQTUQPwRia1I0/ScStwIxE7VcOhdq6FJqurCDGi4kKwwJxTIPwyhABgA3dxtvdcXJJQAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjFEMjs8L21vPjwvbWF0aD5WOBRoAAAAAElFTkSuQmCC)
ECG + 105
= 180![degree](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAYAAAAOCAYAAAAMn20lAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAC9JREFUeNpjYICALCD+AsSfoGw4AAnIArESlA0HINUqQCyPLpEGxB+ggmkMIxoAAFPoCbXia0SnAAAATnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3hCMDs8L21vPjwvbWF0aD5ZBw9sAAAAAElFTkSuQmCC)
![rightwards double arrow](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAKCAYAAAC0VX7mAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAADlJREFUeNpjYCANlAAxHwMVQTUQPwRia1I0/ScStwIxE7VcOhdq6FJqurCDGi4kKwwJxTIPwyhABgA3dxtvdcXJJQAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjFEMjs8L21vPjwvbWF0aD5WOBRoAAAAAElFTkSuQmCC)
ECG = 75![degree](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAYAAAAOCAYAAAAMn20lAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAC9JREFUeNpjYICALCD+AsSfoGw4AAnIArESlA0HINUqQCyPLpEGxB+ggmkMIxoAAFPoCbXia0SnAAAATnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3hCMDs8L21vPjwvbWF0aD5ZBw9sAAAAAElFTkSuQmCC)
In
ECF,
FEC +
ECF =
EFG [exterior angle is equal to sum sum of interior opposite angles ]
x + 75
= 140![degree](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAYAAAAOCAYAAAAMn20lAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAC9JREFUeNpjYICALCD+AsSfoGw4AAnIArESlA0HINUqQCyPLpEGxB+ggmkMIxoAAFPoCbXia0SnAAAATnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3hCMDs8L21vPjwvbWF0aD5ZBw9sAAAAAElFTkSuQmCC)
x = 65![degree](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAYAAAAOCAYAAAAMn20lAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAANvpXuIwAAAC9JREFUeNpjYICALCD+AsSfoGw4AAnIArESlA0HINUqQCyPLpEGxB+ggmkMIxoAAFPoCbXia0SnAAAATnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3hCMDs8L21vPjwvbWF0aD5ZBw9sAAAAAElFTkSuQmCC)
Related Questions to study
Maths-
In the figure, AB is parallel to CD , then x =
![](data:image/png;base64,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)
In the figure, AB is parallel to CD , then x =
![](data:image/png;base64,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)
Maths-General
Maths-
In the adjoining figure, two straight lines PQ and RS intersect each other at O. If then the values of a,b and c are .........., .......... and ..............
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)
In the adjoining figure, two straight lines PQ and RS intersect each other at O. If then the values of a,b and c are .........., .......... and ..............
![](data:image/png;base64,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)
Maths-General
Maths-
In the given figure,
and
then the value of x =
![](data:image/png;base64,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)
In the given figure,
and
then the value of x =
![](data:image/png;base64,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)
Maths-General
Maths-
In the given figure,
then the reflex of ![angle P Q R equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure,
then the reflex of ![angle P Q R equals](data:image/png;base64,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)
![](data:image/png;base64,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)
Maths-General
Maths-
The values of x y, in the following figure is
![](data:image/png;base64,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)
The values of x y, in the following figure is
![](data:image/png;base64,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)
Maths-General
Maths-
The value of x from the following figure is
![](data:image/png;base64,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)
The value of x from the following figure is
![](data:image/png;base64,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)
Maths-General
Maths-
The value of x y z , , in the adjoining figure is
![](data:image/png;base64,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)
The value of x y z , , in the adjoining figure is
![](data:image/png;base64,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)
Maths-General
maths-
In the following figure, the value of x =
![](data:image/png;base64,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)
In the following figure, the value of x =
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, 2b-a=65° and BOC=90° the measure of ![left floor A O B comma left floor C O D equals](data:image/png;base64,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)
![](data:image/png;base64,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)
In the given figure, 2b-a=65° and BOC=90° the measure of ![left floor A O B comma left floor C O D equals](data:image/png;base64,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)
![](data:image/png;base64,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)
maths-General
maths-
In the following figure, x =
![](data:image/png;base64,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)
In the following figure, x =
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, the value of x =
![](data:image/png;base64,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)
In the given figure, the value of x =
![](data:image/png;base64,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)
maths-General
maths-
In the adjacent figure, the value of x =
![](data:image/png;base64,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)
In the adjacent figure, the value of x =
![](data:image/png;base64,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)
maths-General
maths-
In the given figure if
then x =
![](data:image/png;base64,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)
In the given figure if
then x =
![](data:image/png;base64,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)
maths-General
maths-
Which value of x will make AOB a straight line ?
![](data:image/png;base64,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)
Which value of x will make AOB a straight line ?
![](data:image/png;base64,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)
maths-General
maths-
In the figure, if
, then EFD is
![](data:image/png;base64,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)
In the figure, if
, then EFD is
![](data:image/png;base64,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)
maths-General