Answer:
Angle P: 110°
Angle S: 110°
Step-by-step explanation:
Since angle P and angle S are congruent, that means they are equal to each other.
Setup an equation so that they are equal to each other and solve for x.
2x + 10 = 3x - 40
2x - 2x +10 = 3x -2x - 40
10 = x - 40
10 + 40 = x - 40 + 40
x = 50
For each angle, plugin for x and solve. You should get the same answer since they are congruent.
Angle P:
2x + 10
2(50) + 10
100 + 10
110°
Angle S:
3x - 40
3(50) - 40
150 - 40
110°
