Question

Triangle ABC is similar to triangle FGH. Given the following angle measures, find the missing angle measures.

m∠A = 48 degrees

m∠B = 35 degrees

Enter your answers as numbers only.

Answer 1

Since the triangles are similar, their corresponding angles are equal. Therefore:

m∠F = m∠A = 48 degrees

m∠G = m∠B = 35 degrees

To find the measure of angle H, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees. Thus:

m∠H = 180 - m∠F - m∠G

= 180 - 48 - 35

= 97 degrees

Therefore, m∠H = 97 degrees.