Find the values of x and y. The diagram is not to scale.?

Question

http://tinypic.com/view.php?pic=7w9qo7l&s=1

Answer 1

It's not stated explicitly, but we have to assume the two rays are parallel or else this problem isn't solvable. Assuming the rays are parallel means the angles formed by those rays have the same measures. Specifically (x-5)° must be the same as 75°.

(x - 5)°= 75°
x = 75 + 5
x = 80

Next the 3 angles (x - 5)°, 56° and (y + 2)° must add to 180°. We already know that x - 5 is 75°, so form the equation as:

75 + 56 + (y + 2) = 180
131 + y + 2 = 180
133 + y = 180
y = 180 - 133
y = 47

So the intended answer is probably:
a) x = 80, y = 47

Answer 2

with all angles on one line total to 180
x-5 + 56 +y + 2 =180
x+y = 127

Total for both angles 127 has two answers
a , x = 80 y =47 and c x=47 y = 80

If the diagram is not to scale and lines are not parrallel than both above answers are true,
if lines are assumed parrallel , than answer is a) x=80 and y =47

Answer 3

x - 5 = 75 (pair of corresponding angles)

x = 80 degrees

now x - 5 + 56 + y+2 = 180(linear pair)

x + y + 53 = 180

substituting value of x =80

80 + y + 53 = 180

y = 180 -(80+53) = 180-(133) = 47

so x = 80 and y = 47 (option a)

Answer 4

(x-5)=75 (Alterbating angles )

X=80

(x-5)+56+(y-2)=180 (straight line angle =180)

Y=47

Answer 5

a is the correct answer, but it is improper to assume any lines are || since no such data was given.