To find the values of angles A and B in the given triangle, we can use the fact that the sum of angles in any triangle is always 180 degrees.
In this case, we already know the values of angles 1, 2, 3, and 4. We can add those values together and subtract the result from 180 to find the values of angles A and B.
Let's calculate:
Total sum of angles = angle 1 + angle 2 + angle 3 + angle 4
Total sum of angles = 129 degrees + A degrees + B degrees + 90 degrees
According to the triangle angle sum formula, this should be equal to 180 degrees:
180 degrees = (angle 1 + angle 2 + angle 3 + angle 4) + A degrees + B degrees
180 degrees = (129 degrees + A degrees + B degrees + 90 degrees) + A degrees + B degrees
Now, let's simplify the equation:
180 degrees = 219 degrees + 2A degrees + 2B degrees
Next, subtract 219 degrees from both sides of the equation:
180 degrees - 219 degrees = 219 degrees - 219 degrees + 2A degrees + 2B degrees
-39 degrees = 2A degrees + 2B degrees
Finally, divide both sides of the equation by 2 to isolate A and B:
(-39 degrees) / 2 = (2A degrees + 2B degrees) / 2
-19.5 degrees = A degrees + B degrees
So, the equation for A degrees + B degrees is -19.5 degrees. However, we cannot determine the individual values of A and B without additional information or constraints.
Therefore, the sum of angles A and B is -19.5 degrees, but the individual values of A and B are unknown without more information.