Answer: 68 degrees
Step-by-step explanation:
Let the measure of the angle be x.
The supplement of the angle is 180 - x as supplementary angles add up to 180 degrees.
The complement of the angle is 90 - x as complementary angles add up to 90 degrees.
We can set up an equation.
180 - x = 46 + 3*(90-x)
180 - x = 46 + 270 - 3x
Combine like terms:
2x = 136
Divide both sides by 2:
x = 68
