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."
