Answer: m∠F = 31°
Solution: The triangle's rotation is irrelevant to the measure of its angles. In other words, angles D, E, and F will all stay the same if the triangle is turned ("rotated"). That being said, we know by definition that the interior angles of a triangle add up to 180°. We are given two of the angles, and we are asked to find the third:
- m∠D + m∠E + m∠F = 180°
- 48° + 101° + m∠F = 180°
- 149° + m∠F = 180°
- m∠F = 31°