Answer: Let x be the measure of the angle in degrees. Then, the measure of its supplementary angle is 180 - x degrees.
We are told that the angle measures 153.4 degrees more than its supplementary angle. Using this information, we can set up an equation:
x = (180 - x) + 153.4
Simplifying this equation, we get:
2x = 180 + 153.4
2x = 333.4
x = 166.7
Therefore, the angle measures 166.7 degrees, and its supplementary angle measures:
180 - x = 180 - 166.7 = 13.3 degrees
We can check that the angle and its supplementary angle add up to 180 degrees:
166.7 + 13.3 = 180
So our solution is correct.
Explanation: