Answer:
The smallest angle is the angle shown by 3x - 17 which ends up being 49°.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.
75 + (2x + 12) + (3x - 17) = 180
~Combine like terms
70 + 5x = 180
~Subtract 70 to both sides
5x = 110
~Divide 5 to both sides
x = 22
Using what we found for x, solve for the missing angles.
2x + 12
2(22) + 12
44 + 12
66
3x - 17
3(22) - 17
66 - 17
49
Best of Luck!
