The two angles are vertical angles, which means they are the same.
Set the two equations to equal and solve:
2x +2 = 3x -52
Subtract 2x from each side:
2 = x -52
Add 52 to each side:
x = 54
5 = 15/3
3 1/3 = 10/3
15/3 - 10/3 = 5/3
so 5-3 1/3 is either 5/3 or 1 2/3.
The resulting number would be 120
Let's talk about the choices
◯ ∠4 and ∠5 . . . . . . . . these are complementary angles whose sum is 90°
◯ ∠7 and ∠9 . . . . . . . . these are vertical angles, equal to each other
◯ ∠2 and ∠3 . . . . . . . . these are supplementary angles that together form a straight line. They are a linear pair.
◯ ∠1 and ∠2 . . . . . . . . these are "adjacent" angles in the quadrilateral that also includes ∠9 and ∠10.
The appropriate choice is ...
◉ ∠2 and ∠3
a) C = 40 + 30t
b) 280 = 40 + 30t
30t = 240
t = 8
The plumber worked 8 hours
