Given: m ZADE = 60° and m2CDF = (3x + 15)
Prove: x = 15
What is the missing statement and the missing reason in
step 5?
Statements
1. MZADE -60°
m2CDF-(3x+15)
2. ZADE and 2CDF are vert. Es
3. ZADE = 2CDF
4. MZADE = m2CDF
5. ?
6. 45 - 3x
7. 15-X
Reasons
1. given
2. def. of vert. Es
3. vert 25
4. def. of a
5. ?
6. subtr. prop
| 7. div. prop
(3x + 15)
Statement 60 = 3x + 15 Reason: substitution
Statement x = 15 Reason: subtraction property of
equality
Statement 60 = 3x + 15, Reason: transitive property
Statement x = 15, Reason: subtraction and division
properties of equality