What are their measures if the sum of two angles is 85 and the difference is 25?

Answer 1

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.