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6. nora sketches a pair of complementary angles, with one angle measuri…

Question

  1. nora sketches a pair of complementary angles, with one angle measuring approximately 35°. which of the following could be nora’s sketch? a. image of intersecting lines b. image of two angles c. image of an angle on a straight line d. image of two right angles

Explanation:

Step1: Define complementary angles

Complementary angles sum to $90^\circ$.

Step2: Find the second angle

Calculate the paired angle: $90^\circ - 35^\circ = 55^\circ$.

Step3: Analyze each option

  • Option A: Shows vertical angles (equal measure), not complementary.
  • Option B: Shows two small angles (both ~35°), sum ≠ 90°.
  • Option C: Shows one small (~35°) and one medium (~55°) angle, sum ≈ 90°.
  • Option D: Shows two right angles (90° each), sum ≠ 90°.

Answer:

C. <The sketch with one small and one medium adjacent angle sharing a common side>