Question

Find the value of x. Picture below

Answer 1

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given
`(2x)^o` and
`(x+15)^o`. Sum of these two angles is 90°.

So we can write the equation as,

`(2x)+(x+15) = 90`

We have to remove the parenthesis now.

`2x+x+15 = 90`

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

`3x+15 = 90`

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

`3x+15-15 = 90-15`

`3x= 90-15`

`3x= 75`

Now to get x, we have to move 3 to the other side, by dividing it to both sides.

`(3x)/3 = (75)/3`

`x = (75)/3`

`x = 25`

We have got the required value of x.

The solution is x= 25.