Final answer:
The size of angles x, y, and z in a triangle cannot be determined with the given information.
Step-by-step explanation:
Let's denote the size of angle y as y. According to the problem, the size of angle x is 3 times the size of angle y, so x = 3y. Additionally, angle z is 37° less than angle x, so z = x - 37. We can now solve for the angles:
- Angle x = 3y
- Angle z = x - 37
To find the size of angles x, y, and z, we need to solve these equations simultaneously. Let's substitute x = 3y into the second equation:
Angle z = 3y - 37
We can now solve for y by setting the two equations for z equal:
3y - 37 = x - 37
3y = x
3y = 3y - 37
0 = -37
Since this equation has no solution, there is an error in the given problem or information provided. Please double-check the problem and try again.
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