In this picture, m∠TPU = 39° and m∠UPS = (5x + 10)°. If ∠TPU and ∠UPS are supplementary angles, then what is the value of x?
Since ∠TPU and ∠UPS are supplementary angles, their sum must be equal to 180°.
m∠TPU + m∠UPS = 180°
39° + (5x + 10)° = 180°
Combine like terms:
5x + 49° = 180°
Subtract 49° from both sides:
5x = 180° - 49°
5x = 131°
Divide both sides by 5:
x = 131° / 5
x = 26.2