Triangle ABC is similar to triangle DEF. If the measure of angle A is 51°, and the measure of angle B is 99°, what is the measure of angle F?
To find the measure of angle F, we need to use the property of similar triangles that corresponding angles are equal.
Since triangles ABC and DEF are similar, we know that angle A corresponds to angle D, and angle B corresponds to angle E.
Therefore, if angle A is 51°, angle D is also 51°.
Similarly, if angle B is 99°, angle E is also 99°.
Now, we know that the sum of the angles in a triangle is 180°. Therefore, to find angle F, we can subtract the sum of angles D and E from 180°:
180° - (51° + 99°) = 180° - 150° = 30°
Therefore, the measure of angle F is 30°.