Are the two triangles below similar?A) Yes; they have congruent corresponding anglesB) No; they do not have congruent corresponding anglesC) Yes; they have proportional corresponding sidesD) No; they do not have proportional corresponding sides

Answer:- B) No; they do not have congruent corresponding angles.Explanation:-In ΔGHI ,∠G=46° and  ∠I=27°By angle sum property,∠G+∠H+∠I=180°⇒∠I=180°-∠G-∠H⇒∠I=180°-46°-27°= 107°In Δ JKL∠K=108°and ∠L=27°By angle sum property of triangles,∠J+∠K+∠L=180°⇒∠J=180°-∠L-∠K⇒∠J=180°-27°-108°⇒∠J=45°Now we can see that there is only one pair of congruent angles [not two] in both the triangles i.e.∠I≅∠L.⇒ They do not follow AA similarity criteria.Thus ,the given triangles are not similar because they do not have congruent corresponding angles.