Question

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

Answer 1

Answer:

answer:-  A

Statement: 60=3x +15; Reason: Substitution

Answer 2

The missing statement and missing reason in step 5 is;

A: Statement 60 = 3x + 15 Reason: substitution

What are triangle proofs?

From statement 1, we are told that  m∠ADE - 60° = m∠CDF - (3x+15)

However, in statement 4, we are told that m∠ADE = m∠CDF. Thus, using substitution into statement 1, m∠ADE and m∠CDF will cancel out leaving us with;

60 = 3x + 15

Thus, the missing statement in and reason in statement 5 are Statement 60 = 3x + 15 Reason: substitution

Read more about triangle proofs at; https://brainly.com/question/12852445