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 7) m∠4 = 60 7) vertical angles theorem 8) m∠3 + m∠4 = 30 + 8) substitution

Explanation:

Step1: Recall the value of m∠4

We know from step 7 that m∠4 = 60.

Step2: Substitute the value

In the equation m∠3 + m∠4=30 + m∠4, we substitute the value of m∠4.

Answer:

60