∠B = 90° – 35° = 55° Reason: Complementary angles sum to 90°. Example problem: Angles P and Q are vertical. If ∠P = (2x + 10)° and ∠Q = 50°, find x.
Since I don’t have your exact worksheet or book, I’ll give you a covering the main angle relationships in Lesson 9-1, along with typical answer formats so you can check your work. 1. Common Angle Relationships in Lesson 9-1 | Relationship | Definition | Example (numeric) | |--------------|------------|------------------| | Complementary | Sum = 90° | 30° + 60° = 90° | | Supplementary | Sum = 180° | 110° + 70° = 180° | | Vertical angles | Opposite angles formed by intersecting lines; equal | If one = 40°, the vertical = 40° | | Adjacent angles | Share a vertex and side, no interior overlap | ∠ABC next to ∠CBD | | Linear pair | Adjacent + supplementary | Two angles form a straight line | 2. Typical Answer Format for “Find the missing angle” Example problem: If ∠A = 35° and ∠B is complementary to ∠A, find ∠B. Lesson 9-1 Angle Relationships Answers
It sounds like you’re looking for for a geometry lesson on angle relationships (likely from a textbook like Pearson’s Geometry , Big Ideas Math , or Holt McDougal ). ∠B = 90° – 35° = 55° Reason: