Respuesta :

In similar figures, the angle measures are the same but the side lengths are different.  So in #4, x = 42.  Since all the angles of a quadrilateral added up equal 360, then y is 360-90-90-42=138.  For number 5, make sure you match up the sides correctly in your ratio: [tex] \frac{2}{x}= \frac{4}{8} [/tex].  You could cross multiply to get 4x=16, and x = 4, or you could just realize that reducing 4/8 will give you 2/4 and x = 4.  Going back to the idea that in similar shapes corresponding angles are the same measure, x in #6 is 63