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muminat
3 years ago
9

Find the measure of each missing angle.​

Mathematics
1 answer:
dezoksy [38]3 years ago
8 0

9514 1404 393

Answer:

  1. 35°
  2. 145°
  3. 55°
  4. 125°
  5. 55°

Step-by-step explanation:

The right triangles are similar, so angle 1 is congruent to the given angle, and angles 3 and 5 are complements of that.

Angles 2 and 4 are the supplements of angles 1 and 5, respectively.

  ∠1 = 35°

  ∠2 = 180° -35° = 145°

  ∠3 = ∠5 = 90° -35° = 55°

  ∠4 = 180° -55° = 125°

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