Answer:
∠ a = 60° , ∠ b = 120°
Step-by-step explanation:
Supplementary angles sum to 180° then
x - 40 + x + 20 = 180 , that is
2x - 20 = 180 ( add 20 to both sides )
2x = 200 ( divide both sides by 2 )
x = 100
Then
∠ a = x - 40 = 100 - 40 = 60°
∠ b = x + 20 = 100 + 20 = 120°
Answer:
120
Step-by-step explanation:
Let g = number of girls.
(2/3)g is 2/3 the number of girls
(2/3)g + 35 is 35 more than 2/3 the number of girls. This is the number of boys.
(2/3)g + 35 = 115
(2/3)g = 80
(3/2)(2/3)g = 80(3/2)
g = 120
Angle 1 = 8x + 45
Angle 2 = x
x + 8x + 45 = 180
combine like terms
9x + 45 = 180
subtract 45 from both sides
9x = 135
divide both sides by 9 to isolate x
x = 15
Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees
Answer:
w = 9
Step-by-step explanation:
9-10 = -1
6+-1 = 5.
Multiply 2/5 by 2 to get 4/10
4/10 + 3/10 = 7/10
