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°
.(1 point)

△ABC∼△GJH


△ABC∼△HGJ


△ABC∼△GHJ


△ABC∼△HJG

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Answer 1

First find angle C: m∠C = 180° − (47° + 36°) = 97°. For the second triangle m∠H = 180° − (36° + 97°) = 47°.

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

Matching equal angles gives A ↔ H, B ↔ G, C ↔ J. Thus the correct similarity is

△ABC ∼ △HGJ.