The angles of a triangle are x, y, and . The difference between the two angles x and y is .

Find x and y

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Detailed Solution

Concept: With this approach, the sum of all the angles of the triangle

= 180 degree

, so we substitute the values for the angles of the triangle to get the equations for x and y, and get the equation given as the difference between x and y. Given, solve them with the imputation method to get the desired result.
Here, the angles of the triangles x, y, and 40 are given. Since it is a triangle, you can see that the sum of the angles of the triangles is always equal to 180 °. Therefore,

Let's make it easy

………………. (1)
The difference between the two angles x and y is assumed to be 30. The equation is:

…………. (2)
If we add equations (1) and (2) here, we get:

To simplify,

Dividing the above formula by 2 gives:

Simplify and we get again

If we insert

into equation (1) , we get:

If you pull both sides by 85, you get:

To simplify,

Therefore, the x and y values are

and