Answer:
The measures of angle are 46 degrees and 134 degrees.
Step-by-step explanation:
We are given the following in the question:
Let the measure of one the of the supplementary angles be x degrees.
Measure of other angle =
[tex](3x-4)\text{ degrees}[/tex]
Since, the two angles are supplementary, their sum is 180 degrees.
Thus, we can write and solve the equation:
[tex]x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134[/tex]
Thus, the measures of angle are 46 degrees and 134 degrees.