If triangle PRQ has angle P=30 and angle R=127 and triangle FGH has angle H=30 and angle G=23, what criterion

Question

If triangle PRQ has angle P=30 and angle R=127 and triangle FGH has angle H=30 and angle G=23, what criterion has been met to prove the triangles similar. A. ASA B. SAS. C. SSS. D. AA.

GPT-5 mini · Answer

D. AA.

Reason: In triangle PRQ the third angle Q = 180° − (30° + 127°) = 23°. Triangle FGH has angles 30° and 23°, so two angles match (30° and 23°), which is enough for similarity by the Angle-Angle (AA) criterion.

If triangle PRQ has angle P=30 and angle R=127 and triangle FGH has angle H=30 and angle G=23, what criterion has been met to prove the triangles similar. A. ASA B. SAS. C. SSS. D. AA.

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