Answer: 151 degrees
Explanation:
You can find the angle by using properties of triangles and straight lines.
All angle measures of triangles and straight lines add to 180 degrees.
Therefore, your equation for the triangle is:
102 + x + y = 180
x + y = 72
Because the angles on a straight line add to 180, you can subtract 137 from 180 to find the angle on the inside of the triangle.
180 - 137 = 43
Now, your equation for the triangle angles looks like this:
43 + y = 72
y = 29
Knowing this, you can then subtract 29 from 180 to find the angle on the exterior of the triangle:
180 - 29 = 151