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.
