Which property justifies the following statement?
if 3 ● m∠q − 17 = 30, then 3 ● m∠q = 47.
subtraction property of equality
division property of equality
multiplication property of equality
addition property of equality

Addition Property of Equality

Step-by-step explanation:

Given:3 ● m∠Q − 17 = 30, then 3 ● m∠Q = 47.

3 ●m∠Q - 17 = 30

Here we have to find the m∠Q. To find the angle use inverse operation of subtraction.

The inverse operation of subtraction is addition.

Here we have to get rid of -17, the inverse operation of "-" is "+"

So, add +17 on both sides, we get

3 ●m∠Q - 17 + 17 = 30 + 17

3 ●m∠Q = 47

Therefore, we used Addition property of equality.