Find the unknown angle measure by solving for the given variable.

answer choices: 32,48,96,24,36,64

A triangle is 180°. So you can do:

3.2n + 6.4n + 2.4n = 180   Simplify

12n = 180

n = 15   Now that you know the value of n, you can plug it into each individual angle/equation

∠X = 3.2n    plug in 15 for n

∠X = 3.2(15)

∠X = 48°

∠Y = 6.4(15)

∠Y = 96°

∠Z = 2.4(15)

∠Z = 36°

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: