Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:

Option (A).

Step-by-step explanation:

                         Statements                                   Reasons

1). Draw a line ZY parallel to PQ             1).Construction

2). m∠ZRP + m∠PRQ + m∠QRY = 180°   2). Angle addition postulate

3). ∠ZRP ≅ ∠RPQ                                     3). Alternate interior angles theorem

4). ∠QRY ≅ ∠PQR                                     4). Alternate angle theorem

5). m∠RPQ + m∠PRQ + m∠PQR =m∠ZRY  5). Substitution

6). m∠ZRY = 180°                                     6). Definition of supplementary angles

7). m∠RPQ+m∠PRQ+m∠PQR = 180°       7). Substitution

Here reason of statement (6) is incorrect.

m∠ZRY = 180°, because angle ZRY is a straight angle not a supplementary angle.

Therefore, Option (A) will be the answer.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.