7.1. The angle formed by the bisector of angle $A B C$ with its sides is 6 times smaller than the angle adjacent to angle $A B C$. Find angle $A B C$.
Answer: 45 degrees. Solution. Let $x$ be the degree measure of angle $A B C$. From the condition of the problem, we get the equation $\frac{x}{2}=\frac{180-x}{6} \Leftrightarrow 8 x=360 \Leftrightarrow x=45$ (degrees).