Using the diagram below. ∠RQT is a straight angle. What are m∠RQS and m∠TQS.

∠RQT°
∠TQS°

1 answer

According to the diagram, ∠RQT is a straight angle, which means it is equal to 180 degrees.

Since ∠RQS and ∠TQS are adjacent angles that form a straight angle with ∠RQT, we can find their measures by subtracting the measure of ∠RQT (180 degrees) from 180 degrees.

m∠RQS = 180 - ∠RQT = 180 - 180 = 0 degrees
m∠TQS = 180 - ∠RQT = 180 - 180 = 0 degrees

Therefore, m∠RQS and m∠TQS are both 0 degrees.