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x = 52, y = 137 degrees.

Step-by-step explanation:

x = 180 - 90 - 38

x =  52 degrees   (as there is 180 degrees in a triangle).

As they are the same side inner angles between 2 parallel lines:

x + (y - 9) = 180

52 + y - 9 = 180

y = 180 - 52 + 9

y =  137 degrees.

x=52

y=137

Step-by-step explanation:

The angles of a triangle add to 180

Looking at the big triangle

38+90 +x = 180

Combine like terms

128 +x = 180

Subtract 128 from each side

128-128 +x = 180-128

x =52

Then looking at the quadrilateral at the bottom

The sum of the angles is 360

90+90+y-9 +x = 360

180 -9 +x+y = 360

171 +52 +y = 360

223 +y = 360

Subtract 223 from each side

223-223 +y = 360-223

y =137

step-by-step explanation:

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step-by-step explanation: