Answer :
- Angle T = 65 degrees
- Angle U = 123 degrees
Explanation :
According to the exterior angle theorem,the sum of two opposite interior angles is equal to the measure of the exterior angle formed outside of a triangle.
thus,
- Angle T + Angle S = Angle U
- 5x + 10 + 58 = 11x + 2
- 5x + 68 = 11x + 2
- 11x - 5x = 68 - 2
- 6x = 66
- x = 66/6
- x = 11
plugging in the value of x in the expression for angle T and that of angle U,
- Angle T = 5*11 + 10 = 55 + 10 = 65 degrees
- Angle U = 11*11 + 2 = 121 + 2 = 123 degrees
