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const2013 [10]
3 years ago
6

Find the value of x. Picture below

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

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.

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