CPM Homework Help : CCG Problem 4-99

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.

Hint (a):
Think about what the slope ratio must be for the angle to be $45º$ .

Hint (b):
Use the Pythagorean Theorem to solve for the missing leg. What does this length tell you about the angle's measure?

Hint (c):
Use the same method as in part (a).
Answer (c):
More than $45º$