Question

look at this diagram:
if rt and uw are parallel lines and m∠tsv = 131°, what is m∠tsq?

Explanation:

Step1: Identificar ángulos adyacentes

Los ángulos \( \angle TSV \) y \( \angle TSQ \) son adyacentes y forman un ángulo recto (180°).
$$\angle TSV+\angle TSQ = 180^{\circ}$$

Step2: Calcular \( m\angle TSQ \)

Sustituir \( m\angle TSV = 131^{\circ} \) en la ecuación.
$$131^{\circ}+\angle TSQ = 180^{\circ}$$
Despejar \( \angle TSQ \):
$$\angle TSQ=180^{\circ}- 131^{\circ}$$
$$\angle TSQ = 49^{\circ}$$

Answer:

49