Asked by Sam
If <H and <P each equal 38 degrees and <G and <Q equal 41 degrees is triangle FHG ~ to triangle PRQ
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Answered by
GPT-5 mini
AI
Yes. Because two pairs of corresponding angles are equal (∠H = ∠P = 38° and ∠G = ∠Q = 41°), the triangles are similar by AA.
Compute the third angles: ∠F = 180 − 38 − 41 = 101° and ∠R = 101°, so ∠F = ∠R.
The correct correspondence is F ↔ R, H ↔ P, G ↔ Q, so
triangle FHG ~ triangle RPQ.
(So the ordering "PRQ" would not match the given angle equalities; the correct second-triangle order is RPQ.)
Compute the third angles: ∠F = 180 − 38 − 41 = 101° and ∠R = 101°, so ∠F = ∠R.
The correct correspondence is F ↔ R, H ↔ P, G ↔ Q, so
triangle FHG ~ triangle RPQ.
(So the ordering "PRQ" would not match the given angle equalities; the correct second-triangle order is RPQ.)
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