Question

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

Answer 1

Answer:

x = 12

Step-by-step explanation:

If the triangle are similar, then the sides are in proportion:

$\dfrac{x}{18}=\dfrac{15}{15+7.5}$

$\dfrac{x}{18}=\dfrac{15}{22.5}$         cross multiply

$22.5x=(18)(15)$

$22.5x=270$            divide both sides by 22.5

$x=12$