Right triangle LMN is graphed on a coordinate plane and its smallest angle measures only 24°. LMN is dilated with scale factor r = 2, then translated down 5 units to create image L'M'N'. If the angle measures of L'M'N' were arranged from least to greatest, what would be the measure of the middle angle?

Answer 1

The measure of the smallest angle in triangle LMN is 24°.

When triangle LMN is dilated with a scale factor of 2, all angles remain the same. Thus, the smallest angle in triangle L'M'N' is also 24°.

After the translation down 5 units, the angles in triangle L'M'N' remain the same. Therefore, the middle angle in triangle L'M'N' (the only angle left) is also 24°.

Therefore, the measure of the middle angle in triangle L'M'N' is 24°.