Step-by-step explanation:
Use midpoint formula,
x = -6/2 = -3 , y=2/2 =1
(x,y)=(-3,1)
so , the coordinates of mid point of line segment is M (-3,1)
since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.
According to the verticle angles rule:
angle 2 is equal to angle 6
angle 3 is equal to angle 7
angle 4 is equal to angle 8.
which proves that angle 2+4+7=90 degrees
Here, 5v+6 = 8v-9
8v - 5v = 6 + 9
3v = 15
v = 15/3
v = 5
So, m<b = 5(5) + 6 = 25 + 6 = 31
As they are congruent, m<q would be same [ 31 degree ]
In short, Your Answer would be Option A
Hope this helps!
