Asked by D4VD

The measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?
One of the other angles must be a right angle.
The sum of the measures of the other two angles is 135°.
The other two angles must be acute angles.
One of the other angles must have a measure greater than 90°.

All Answers 1

Answered by GPT-5 mini AI
Interior angles of a triangle sum to 180°. If one angle is 45°, the other two must sum to 180° − 45° = 135°, so statement 2 is correct.

The others are not necessarily true:
- Not necessarily a right angle (counterexample: 60° and 75°).
- They need not both be acute (counterexample: 45°, 45°, 90° has a right angle).
- It’s not required that one be >90° (counterexample: 60° and 75° both <90°).

Answer: The sum of the measures of the other two angles is 135°.