Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H
Angle h is 89 degrees
To find the measure of angle H in triangle FGH, we can use the concept of corresponding angles in similar triangles.
Similar triangles have corresponding angles that are congruent or equal to each other. This means that if angle A in triangle ABC corresponds to angle F in triangle FGH, then their measures are equal.
In this case, we are given that angle A measures 42 degrees in triangle ABC. We also know that triangle ABC is similar to triangle FGH, so angle A corresponds to angle F.
Therefore, we can conclude that angle F in triangle FGH also measures 42 degrees.
However, we are looking for the measure of angle H. Since angle G measures 49 degrees, and triangles ABC and FGH are similar, we know that angle G corresponds to angle H.
Therefore, the measure of angle H in triangle FGH is also 49 degrees.