Given: ADE = 60° and CDF = (3x + 15)º Prove: x = 15
What is the missing statement and the missing reason
in step 5?
F
Statements
1. ADE = 60°
CDF - (3x+15)
2. ZADE and ZCDF are vert. Zs
3 ZADE 2CDF
4. MZADE = m2CDF
5. ?
6.45-3x
7. 15 -
Reasons
1 given
2. def. of vert. Zs
3 vert. Zsa
4. def. of
5. ?
6 subtr. prop
7. div. prop
E
(3x + 15)°
С
60° D
B
KA
Statement: 60 = 3x + 15, Reason: substitution
Statement: x = 15; Reason: subtraction property of
equality
O Statement 60 = 3x + 15, Reason: transitive property
Statement: x = 15; Reason: subtraction and division
properties of equality