Question

What is the value of x? x = 32 x = 36 x = 37 x = 40

Answer 1

Answer: The correct option is fourth,i.e., x=40.

Explanation:

First of all mark the names of all vertices of the triangle as shown in below figure.

From the figure it is noticed that the angle ACB and the angle ACD lie on a straight line. so, both angles are supplementary angles and their sum is 180 degree.

$x+(4x-20)=180$

$5x+20=180$

$5x=200$

Divide both sides by 5.

$x=40$

Therefore x=40 is a correct value of x and correct option is fourth.

Answer 2

So, this would actually be quite simple. As we just consider the right side of this triangle.

We see, $(4*40)= 160-20= (140)+40= \ \boxed{180}$

This would then signify that sense we would want to make this as much as a square as possible, this would then show us that (180) would then accomplish this purpose.

x = 32
x = 36
x = 37
x = 40