Show the similarity between a triangle with angles A, B, and C, where m∠A = 47° and m∠B = 36°, and another triangle with angles G, H, and J, where m∠G = 36°, and M∠J = 97°?
The similarity between the two triangles can be shown by comparing the measures of their corresponding angles.
In triangle ABC, we are given that m∠A = 47° and m∠B = 36°.
In triangle GHJ, we are given that m∠G = 36°, and m∠J = 97°.
By comparing the angles, we can see that ∠B in triangle ABC corresponds to ∠G in triangle GHJ because they have the same measure (both 36°). Similarly, ∠A in triangle ABC corresponds to ∠J in triangle GHJ because they have the same measure (both 97°).
Therefore, triangle ABC is similar to triangle GHJ.