Question

I messed up on the last one by like 2 more then I put can someone explain how to do this

Answer 1

• m∠TQR = 80°

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If you add a parallel line through the point Q, then angle TQR will be divided by two angles.

One of them is congruent to ∠STQ and another one is congruent to ∠PRQ as alternate interior angles.

Therefore:

• m∠TQR = m∠STQ + m∠PRQ
• m∠TQR = 45° + 35°
• m∠TQR = 80°