Respuesta :

Answer:

x = 18

∠1 = 140°

∠2 = 40°

Step-by-step explanation:

When the horizontal lines are parallel, angles 1 and 2 are supplementary, so ...

(7x +14) + (2x +4) = 180

9x + 18 = 180 . . . . . . . . . . . . collect terms

x + 2 = 20 . . . . . . . . . . . . . . . divide by 9

x = 18 . . . . . . . . . . . . . . . . . . subtract 2

Then the value of angle 2 is ...

∠2 = 2·18 +4 = 40

so ∠1 is 180 - 40 = 140

The values of x, ∠1 and ∠2 are 18, 140°, and 40°, respectively.