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If the two angles are α and θ, then:

  1. α + θ = 85
  2. α - θ = 25

Adding (1) + (2) gives:

2α = 110

⇒ α = 55

Subtracting (1) - (2) gives:

2θ = 60

⇒ θ = 30

So the two angles are 55 and 30.

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11y ago
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Q: What are their measures if the sum of two angles is 85 and the difference is 25?
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