What is the missing reason in step 5 a. linear pair postulate b. givin c. definition of complementary angles d. congruent complements theorem

The Correct Answer On Edgen Is

A) Linear pair postulate.

(A) Linear pair postulate

Step-by-step explanation:

Given: AB intersects DE at point C.

To prove: ∠DCB≅∠ECA

Proof:

Statements                                                                   Reasons

1. AB intersects DE at point C.                                      given

2. ∠DCB and ∠BCE are a linear pair                       Definition of linear pair

3. ∠DCB is supplementary to ∠BCE                        Linear pair postulate

4. ∠BCE and ∠ECA are a linear pair                       Definition of linear pair

5. ∠BCE is supplementary to ∠ECA                       Linear pair postulate

Thus, from statement 2 and 5, we have

∠DCB+∠BCE=180° and ∠BCE+∠ECA=180°

⇒∠DCB+∠BCE=∠BCE+∠ECA

⇒∠DCB≅∠ECA

Hence proved

thus, option A is correct.

answer:

1.14285714286

step-by-step explanation:

divide 40 into 35 and you will get your answer