Triangle abe is similar to triangle acd. find x.

Step-by-step explanation:

We have been given that triangle ABE is similar to triangle ACD. We rae asked to find the value of x.

We will use proportions to solve for x as similarity states that corresponding sides of two similar figures are proportional.

Upon substituting our given values in above proportion, we will get:

Therefore, the value of x is 2.1.

more detail

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.