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.

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

∞ this is your sign