Question

The sum of angles 2x, (x-30)is a right angle then x=​

Answer 1

Answer:

The sum of angles 2x, (x-30)is a right angle then x=$40^0$

Step-by-step explanation:

The angle is a right angled triangle.so one angle is $90^0.$

The angle are $2x , (x-30) , 90^0$.

Sum of three angle of the triangle is $180^0$ .

$2x+(x-30)+90^0=180\\ \\ 2x+x-30+90=180\\ \\ 3x-30+90=180\\ \\ 3x+60=180\\ \\ 3x=180^0-60^0\\ \\ 3x=120^0\\ \\ x=\frac{120^0}{3} =40^0$

The angle are

             $2x=2 \cdot 40^0=80^0\\\\ x-30^0=40^0-30^0=10^0$

Answer 2

Answer:

Hence, value of x will be 40 degree.

Step-by-step explanation:

In context to question asked,

We have to determine the value of x.

As per question,

It is given that,

Sum of angles i.e. 2x and ( x -30) is right angle.

As we know that,

Angle of 90 degree will be considered as Right angle.

So, for determining the value of x we will equate the value of sum of angles to 90 degree.

Thus we will get it as,

$2x+x-30 = 90\\=>3x =90+30\\=>3x = 120\\=>x = \frac{120}{3}\\=>x = 40^0$