Question

The triangles are similar by...A. AA PostulateB. SAS postulateC. SSS postulateThe value of X is....

Answer 1

The triangles are similar by the AA postulate, since one of the angles is a right angle and other is vertically opposite they are equal, so the other angle should be equal too.

Since the triangles are similar the ratio

`(50)/(80)=(5)/(8)`

should hold for every side, then:

`(5)/(8)=(30)/(x)`

Solving for x we have:

`\begin{gathered} (5)/(8)=(30)/(x) \\ x=(30)/((5)/(8)) \\ x=48 \end{gathered}`

Therefore, x=48.