To determine the similarity between the two triangles, we need to find the missing angles of each triangle and then compare the angle measures.
For triangle ABC:
- Given: m∠A = 47° and m∠B = 36°
- To find m∠C: \[ m∠C = 180° - m∠A - m∠B = 180° - 47° - 36° = 97° \]
So the angles of triangle ABC are:
- m∠A = 47°
- m∠B = 36°
- m∠C = 97°
For triangle GHJ:
- Given: m∠G = 36° and m∠J = 97°
- To find m∠H: \[ m∠H = 180° - m∠G - m∠J = 180° - 36° - 97° = 47° \]
So the angles of triangle GHJ are:
- m∠G = 36°
- m∠H = 47°
- m∠J = 97°
Now we can compare the angles of both triangles:
- Triangle ABC: 47°, 36°, 97°
- Triangle GHJ: 36°, 47°, 97°
Since the angles in both triangles are the same (regardless of the order), we can conclude that:
\[ △ABC \sim △GHJ \]
Thus, the answer is: △ABC∼△GHJ