### Home > GC > Chapter 4 > Lesson 4.2.5 > Problem4-91

4-91.

Based on the measurements provided for each triangle below, decide if the angle $θ$ must be more than, less than, or equal to $45º$. Assume the diagram is not drawn to scale. Show how you know.

1. Think about what the slope ratio must be for the angle to be $45º$.

1. Use the Pythagorean Theorem to solve for the missing leg. What does this length tell you about the angle's measure?

1. Use the same method as in part (a).

More than $45º$