Solve for x and y in the triangle with angles (50-x), 2x, and y.

First, let’s recall that the sum of angles in a triangle is 180°.

We can see that one angle of the triangle is , and another is .

The third angle of the triangle is part of a straight line, which is 180°. This straight line is divided into two angles: and .

Let’s write an equation based on the fact that the sum of angles in a triangle is 180°:

We also know that the straight line at the base of the triangle is 180°, so:

From this second equation, we can express :

Now, let’s substitute this expression for into our first equation:

Let’s solve this equation:

Now that we know , we can find by substituting into the equation from step 6: