Question

I need help on #59, #60

Answer 1

59 3x+10 =5x-90
100=. 2x
50=x
Measure angle 0 is 20
60 2x=3x-20
20=x
Angle 0=140

Answer 2

# 59
3x + 10 = 5x -90 because they are vertical angles and vertical angles are congruent.
Solve for x
3x + 10 = 5x - 90
Subtract 3x from both sides
10 = 2x -90
Add 90 to both sides
100 = 2x
Divide by 2
50 = x
Either of these angles with theta will add to 180.
3(50)+ 10 + theta = 180
160 + theta = 180
Subtract 160
Theta = 20
# 60
Again 3x -20 =2x
Subtracting 3x from both sides
-20 = -x
Divide by -1
x = 20
2(20) + theta = 180
40 + theta = 180
Theta = 140