Given: m ZADE = 60° and m2CDF = (3x + 15) Prove: x = 15
What is the missing statement and the missing reason
in step 5?
Reasons
1
given
Statements
1. MZADE -60°
mZCDF - (3x+15)
2. ZADE and ZCDF are vert. Zs
3. ZADE a CDF
4. MZADE - m2CDF
5. ?
6.45 - 3x
7 15-x
(3x +15)
2.
3.
4.
5
6
7
def. of vert. 25
vert. ZS a
def. of a
?
subtr. prop
div. prop
с
60° D
B
O Statement: 60 = 3x + 15; Reason: substitution
O Statement: x = 15; Rehson: subtraction property of
equality
O Statement: 60 = 3x + 15; Reason: transitive
property
O Statement: x = 15; Reason: subtraction and
division properties of equality