A home has a triangular backyard. The second angle of the triangle is 4º more than the first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard

Step-by-step explanation:

Let the first angle be . Then, the second angle is and the third angle is .

We know that the sum of the angles in a triangle will always be . So, we want to solve the equation for x: .

Combining like terms on the left side gives .

Subtracting from both sides gives .

Dividing both sides by gives .

So, the first angle is .

The second angle is , so the second angle is .

The third angle is , so the third angle is .

So, the angles are and we're done!

The check that these angles work is left as an exercise to the reader.