Question

(do not include the degree symbol in your answers.) statements reasons 1) m∠2 = 30 1) given 2) m∠1 = 2m∠2 2) given 3) m∠1 = 2(30) 3) substitution 4) m∠1 = 60 4) simplification 5) m∠3 = 30 5) vertical angles theorem 6) m∠3 + m∠4 = 30 + m∠4 6) addition property of equality subtraction property of equality vertical angles theorem definition of congruent angles video textbook get more help -

Explanation:

Step1: Analyze the operation

We start with \(m\angle3 = 30\) and add \(m\angle4\) to both sides of the equation.

Step2: Recall the property

The property that allows us to add the same quantity to both sides of an equation is the Addition Property of Equality.

Answer:

Addition Property of Equality