In the figure, the value of angle 2 is 126 degrees
How to find the angle
The angle is solved using the knowledge of isosceles triangle theorem
The two sides marked are equal hence we have isosceles triangle
With this knowledge we have the equation
27 + 27 + angle 2 = 180 (base angles of isosceles triangle)
angle 2 = 180 - 27 - 27
angle 2 = 126 degrees