identify types of angles
Use the figure shown to complete each of the following questions. Angle NTS is a straight angle.
∠QTR and ______ are complementary.
A. ∠QTS
B. ∠RTS
C. ∠PTN
D. ∠QT
Well, if angle NTS is straight, then it measures 180 degrees.
To find the complementary angle to ∠QTR, we need to find an angle that, when added to ∠QTR, equals 90 degrees (since complementary angles add up to 90 degrees).
Looking at the options, ∠QTS seems like a promising contender, as it shares a vertex with ∠QTR. So, my answer is A. ∠QTS because together with ∠QTR, they would make 90 degrees, just like you and me make the perfect comedy duo!
Based on the information provided, Angle QTR and ∠RTS are complementary angles. Therefore, the answer is option B.
To identify the type of angle that is complementary to ∠QTR, we need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.
Looking at the figure, we can see that ∠QTR is one of the angles. To find the angle that is complementary to it, we need to look for an angle that, when added to ∠QTR, equals 90 degrees.
Option A: ∠QTS - We can see that ∠QTS is not the complementary angle to ∠QTR because it is not adjacent to ∠QTR.
Option B: ∠RTS - We can see that ∠RTS is adjacent and forms a right angle with ∠QTR. Therefore, ∠RTS is the complementary angle to ∠QTR.
Option C: ∠PTN - We can see that ∠PTN is not adjacent to ∠QTR.
Option D: ∠QT - There is no ∠QT mentioned or shown in the figure, so we cannot determine if it is complementary to ∠QTR.
Therefore, the correct answer is option B: ∠RTS.