Question

Are the triangles congruent? Why or why not?

Answer 1

It would be C. 

In the second triangle if you add the angles 58+33 to angle C 88, you get 179, not 180. So the triangle dont share the same angles meaning they arent congruent.

Answer 2

Answer:- 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."