Answer:
x = 12 and y = 31
Explanation:
Hey There!
So the two angles with x are interior angles meaning that they are congruent
So to solve for x we use the equation
3x+17=5x-7
step 1
add 7 to each side
17+7=24
-7+7 cancels out
now we have
3x+24=5x
step 2 subtract each side by 3x
3x-3x cancels out
5x-3x=2x
were left with
2x=24
final step divide each side by 2
24/2=12
2/2 cancels out
x=12
now we plug it into one of the expressions
3x12=36
36+17=53
the angle that is equal to 53 is supplementary to the angle with y meaning that they add up to 180
so to solve for y we use this equation
180=4y+3+53
step 1 combine like terms
53+3=56
now we have
180=4y+56
step 2 subtract each side by 56
180-56=124
124=4y
step 3 divide each side by 4
124/4=31
y=31
so we can conclude that
x=12 and y = 31