Step-by-step explanation:As these two triangles are similar we know a few things:Their respective angles will have the same measureTheir respective sides will be proportional to each other.Knowing this, we can sole for x by creating a proportion of the two given sides[tex]\frac{42}{60} =\frac{x+12}{40}[/tex]Now we can solve for x[tex]\frac{42}{60} =\frac{x+12}{40}\\\\\frac{40(42)}{60} =x+12\\x=\frac{1680}{60} -12\\\\x=28-12\\\\x=16[/tex]Knowing that the respective angles will be equal we can create this equation to solve for y[tex]5y+7=52\\\\5y=45\\\\y=9[/tex]And knowing that, again, the angles will be equal to each other If we solve for angle E, we can know the measure of angle HWe are given two of the angles of GEF and the sum of the angles of a triangle is always 180. We can setup an equation as follows[tex]52+36+E=180\\\\E=92\\E=92=H[/tex]