Find x and y. give reasons to justify your solutions.
c

lines
ab
and
cd
are straight lines.

x=90-54=36 (90 because it is right angle and it is given)

bod=180-156=24 (supplementary angles)

bod=aoc=24 (vertical angles)

cod=180 (straight angle)

cod=aoc+y+fog+2y=180

24+y+90+2y=180

3y=180-90-24

3y=66 (divide by 3)

y=66/3=22

y=22

so x=36 and y=22

Step-by-step explanation:

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)