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Maths-

General

Easy

Question

The value of x from the following figure is

40°
50°
60°
45°

hint Hint:

In this question, we have to find the value of x using the given figure. As we know that sum of all the angles formed in the straight line is 180 $degree$ . So, by using this we can find the value of y and then substituting it in the other equation formed to find the value of x.

The correct answer is: 40°

As AC is a straight line
So, 2y+30 $degree$ + y= 180 $degree$ [sum of angles formed in a straight line 180 $degree$ ]
$rightwards double arrow$ 3y = 150 $degree$
$rightwards double arrow$ y = 50 $degree$
Also, EB is a straight line
So, 90 $degree$ + x + y =180 $degree$ [sum of angles formed in a straight line 180 $degree$ ]
$rightwards double arrow$ 90 $degree$ + x + 40 $degree$ = 180 $degree$
$rightwards double arrow$ x = 40 $degree$

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