If the supplement of an angle is 3 times of its compliment, find the angle.

Step 1 (Formulate Expressions): Let the angle be $x$ degrees.

• The supplement of the angle is $180^{\circ }-x$.

• The complement of the angle is $90^{\circ }-x$.

Step 2 (Set up the Equation): We are given that the supplement is 3 times the complement:

Step 3 (Solve for x):

Add $3x$ to both sides and subtract $180$:

Step 4 (Conclusion): The angle is exactly $45^{\circ }$. The numeric value is 45.