Question

3. Given the following similar triangles. Find the values of variables and label all the unknown angles

Answer 1

Answer:

The answer to your question is x = 6 and y = 9

Step-by-step explanation:

Data

AB = x                     DF = 18

BC = 5                     FE = 15

AC = 3                     DE = y

Process

1.- Find y

Use proportions to find it

                 DE/FE = AC/BC

Substitution

                 y/15 = 3/5

Solve for y

                  y = 15(3/5)

                  y = 45/5

                  y = 9

2.- Find x

                AB/DF = BC/FE

Substitution

                x/18 = 5/15

Solve for x

                x = 18(5/15)

                x = 90/15

                x = 6