Question

Use the figure shown to complete each of the following questions. Angle NTS is a straight angle.
1.
∠QTR and ______ are complementary.

• ∠QTS
• ∠RTS
• ∠PTN
• ∠QT

Answer 1

∠QTS and ∠RTS are complementary angles. Complementary angles add up to 90 degrees. In the figure, ∠QTS and ∠RTS are two of the angles formed by two lines that intersect at point T. Because angle NTS is a straight angle, the lines intersecting at point T form a right angle. Therefore, ∠QTS and ∠RTS are complementary angles.

Answer 2

1. ∠QTR and RTS are complementary.
2. ∠QTN and QTS are supplementary.
3. If ∠PTQ measures 29°, then PTN measures 61.
4. If ∠NTR measures 148°, then ∠RTS measures 32.
5. ∠PTN is adjacent to PTS.

These are the answers

Answer 3

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