The measure of angle B is equal to 60 degrees.
In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.
Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.
A + B + C = 180
2x + 3x + 80 = 180
5x + 80 = 180
5x = 100
x = 20
Now that we have the x value, we can plug into the equation for B.
B = 3x
B = 3(20)
B = 60
Since it is parallel, gradient must be the same so it will be 1/2
y=1/2x+c
-7=1/2(0)+c
c=-7
equation is y=1/2x-7
Answer:
y=-2/3x+11
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-5)/(6-9)
m=2/-3
m=-2/3
y-y1=m(x-x1)
y-5=-2/3(x-9)
y=-2/3x+18/3+5
y=-2/3x+6+5
y=-2/3x+11
