The triangles are similar by the AA Similarity Postulate. Find the value of x.

7.5 15 18 x

27

1.2

12

270

1 answer

To solve for x using the AA (Angle-Angle) Similarity Postulate, we know that the triangles are similar, meaning their corresponding sides are proportional.

Given:
1. One pair of corresponding sides is 7.5 and 15.
2. Another pair of corresponding sides is 18 and x.

Let's set up the proportion:
7.515=18x

First, simplify 7.515:
7.515=12

So the proportion can be rewritten as:
12=18x

Next, solve for x by cross-multiplying:
1x=218
x=36

Thus, the value of x is 36.