Given: ∠1 , ∠2 , ∠3 , and ∠4 formed by two intersecting segments. prove: ∠2 and ∠4 are congruent. (look at image down below)

Answer :

1.

2.Linear postulate

3.

4.Subtraction property of equality

Step-by-step explanation:

We are given that angle 1. angle 2, angle 3 and angle 4 formed by two intersecting segment.

We have to prove that angle 2 and angle 4 are congruent.

Proof:

Statement 1: and formed by two intersecting lines.

Reason: Given

Statement 2: and forms linear pair

Reason:By definition of linear pair

Statement 3: and forms linear pair

Reason: By definition of linear pair

Statement 4:

Reason: Linear pair postulate

Statement 5:

Reason: Linear pair postulate

Statement 6:

Reason: By substitution property of equlaity

Statement 7:

Reason: Subtraction property of equality

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.