Question

In the diagram, △ F H J ≅△ H F G . Find the values of x and y. Enter your solutions as numbers.

Answer 1

Let's solve for x first.

6x+8=35, because of the Alternate Interior Angles Theorem.  When solving for x, that gives us x=4.5

According to CPCTC ~ Congruent Parts of Congruent Triangles are Cogruent, 2.5=2y-3 .. solving for y, that would give us y= 2.75

Happy solving! Hope that helps!

Answer 2

Y= 2.75 add 3 to both sides and divide by 2 (2y - 3 = 2.5)

x= 4.5 subtract 8 from both sides and divide by 6 (6x + 8 = 35)