Are the triangles congruent? why or why not? a.yes, a ≅ d and ab ≅ de. b.yes, they are congruent by either aas or asa. c.no, c is not congruent to any angle in def. d.no, the congruent sides do not correspond. not b.

- C.No, C is not congruent to any angle in DEF.

Explanation:-

In ΔABC

∠A=33° and ∠C=88°

By angle sum property of triangles

∠A+∠B+∠C=180°

⇒33°+∠B+88°=180°

⇒∠B=180°-33°-88°  [subtract 33° and 88° from both sides]

⇒∠B=59°

Now ,In ΔDEF

∠D=33° and ∠E=58°

By angle sum property of triangles

∠D+∠E+∠F=180°

⇒33°+58°+∠F=180°

⇒∠F=180°-33°-58°  [subtract 33° and 58° from both sides]

⇒∠F=89°

Thus ΔABC is not congruent to Δ DEF as∠C and ∠B are not congruent to any angle of the Δ DEF .

⇒The right option is C."No, C is not congruent to any angle in DEF."

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