One of the outer corners of the triangle is 2 times the other outer corner.

One of the outer corners of the triangle is 2 times the other outer corner. Find: the difference between these external angles, if the internal angle is not adjacent to the specified external angles of 45 degrees.

According to the problem statement, one inner corner is known. The other two corners are:
180 ° – 45 ° = 135 °.
We introduce the variable x and denote one of the outer corners so, then the second of them will be equal to 2x.
The degree measure of the inner angle, which refers to the first outer angle, is 180 ° – x.
The degree measure of the internal angle, which refers to the second external angle, is 180 ° – 2x.
We previously determined that these two angles add up to 135 °.
We get the equation:
180 ° – x + 180 – 2x = 135
-3x = -225
x = 75 ° – the first outer corner;
2 * 75 ° = 150 ° – second outer corner;
150 ° – 75 ° = 75 ° – difference.
Answer: the difference is 75 °.