Answer: Since the exterior angle is 78 degrees, we know that the sum of the exterior angle and its corresponding interior angle is 180 degrees (a fundamental property of triangles).
Let's call the interior angle x. Then, we can set up the equation:
x + 78 = 180
Let's solve for x:
x + 78 = 180
Subtract 78 from both sides:
x = 180 - 78 x = 102
So, the value of the conjugated interior angle is 102 degrees.
Step-by-step explanation: