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Angle Pair Relationships Practice

What is the complement of 35° ?

Answer:

  • 35° + χ = 90°
  • 35° - 35° + χ = 90° - 35°
  • χ = 55°

 

What is the supplement of 115° ?

Answer:

  • 115° + χ = 180°
  • 115° - 115° + χ = 180° - 115°
  • χ = 65°

 

What is the supplement of 75° ?

Answer:

  • 75° + χ = 90°
  • 75° - 75° + χ = 90° - 75°
  • χ = 15°

The rest of the questions refer to this diagram.

lines UW and SZ intersecting at point T forming angles UTZ, ZTW, WTS, and STU; the measure of angle ZTW is given as 18 degrees

What is the measure of ∠STU in the diagram?

  1. ∠WTZ has a measure of 18°. What is the relationship between ∠STU and ∠WTZ? Is it vertical or are they a linear pair? Answer: vertical
  2. ∠STU and ∠WTZ are vertical angles. Which equation expresses their mathematical relationship? m∠STU + m∠WTZ = 180° or m∠STU = m∠WTZ Answer: m∠STU = m∠WTZ

What is the measure of ∠ STU in the diagram?

  1. Vertical angles are equal in measure, so m∠STU = m∠WTZ is correct. What is the measure of ∠ STU? Answer: 18°
  2. ∠WTZ has a measure of 18°. What is the relationship between ∠UTZ and ∠WTZ? Is it vertical or are they a linear pair? Answer: linear pair

What is the measure of ∠UTZ in the diagram?

  1. ∠WTZ has a measure of 18°. What is the relationship between ∠UTZ and ∠WTZ? Is it vertical or are they a linear pair? Answer: linear pair
  2. ∠UTZ and ∠WTZ form a linear pair. Which equation expresses their mathematical relationship? m∠UTZ + m∠WTZ = 180° or m∠UTZ = m∠WTZ Answer: m∠UTZ + m∠WTZ = 180°
  3. Supplementary angles sum to 180°, so m∠UTZ + m∠WTZ = 180° is correct. Work through this problem: m∠UTZ + _____° = 180° Answer: 18°
  4. m∠UTZ = _____ Answer: 162