👤

Answer :

Answer:

142°

Step-by-step explanation:

Make a line parallel to RT to create alternate internal angles

View image Аноним
Mhanifago

Answer:

  • 142°

Step-by-step explanation:

Since QS ║ MN, the following equations are true:

  • m∠SQT = m∠QNM as alternate interior angles
  • m∠QNM = 180° - 72° = 108° as linear pair

The angle QSR is exterior of ΔSQT.

Exterior angle measure is the sum of non-adjacent interior angles:

  • m∠QSR = m∠SQT + m∠STQ
  • m∠QSR = 108° + 34° = 142°

Go Teaching: Other Questions