Question

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°.
A. △ABC∼△HGJ
B. △ABC∼△HJG
C. △ABC∼△GJH
D. △ABC∼△GHJ

Answer 1

First find the missing angles.

In △ABC: C = 180° − (47° + 36°) = 97°.
In △GHJ: H = 180° − (36° + 97°) = 47°.

So angles are:
- A = 47° matches H = 47°,
- B = 36° matches G = 36°,
- C = 97° matches J = 97°.

Thus the correspondence is A→H, B→G, C→J, so △ABC ∼ △HGJ. Answer: A.