Answer: x = 30
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle R + Angle S + Angle T = 180 degrees
Looking at the triangle,
Angle R = (2x + 10) degrees
Angle S = (2x + 25) degrees
Angle T = (x - 5) degrees
Therefore,
2x + 10 + 2x + 25 + x - 5 = 180
2x + 2x + x + 10 + 25 - 5 = 180
5x + 30 = 180
Subtracting 30 from the left hand side and the right hand side of the equation, it becomes
5x + 30 - 30 = 180 - 30
5x = 150
Dividing the left hand side and the right hand side of the equation by 5, it becomes
5x/5 = 150/5
x = 30
