Question

Determine whether each pair of triangles is similar. If similarity exists, write a similarity statement relating to the two triangles. Give a justification for your answer.

Answer 1

Triangles are similar

Explanation:

Taking the angle- angle approach

∠ T = ∠ N = 35°

The sum of the 3 angles in a triangle = 180°

subtract the sum of the given angles in Δ FAN from 180 for ∠ F

∠ F = 180° - (75 + 35)° = 180° - 110° = 70°

Thus ∠ F = ∠ G = 70°

Thus Δ GOT is similar to Δ FAN by the AA postulate