Step-by-step explanation:
Statement: ∠C + ∠A + ∠B = 180
Reasons:
1. Given: ∠A + ∠B = ∠D (Given information)
2. Subtracting ∠A and ∠B from both sides of the equation in statement 1, we get: ∠C + (∠A + ∠B) = 180 (Addition property of equality)
3. Substituting the given information from statement 1 into statement 2, we get: ∠C + ∠D = 180
4. Rearranging the terms in statement 3, we get: ∠C + ∠A + ∠B = 180 (Associative property of addition).
