it has to be a.
Answer is c ...
ΔRTS and ΔBAC
Given that segment RT > segment BA, then their corresponding angles will have the same relationship. RT matches to ∠S and BA matches to ∠C. So, by the converse of the hinge theorem, ∠S > ∠C
Hinge theorem states "If 2 triangles have 2 sets of congruent sides, the larger included angle will have a longer side"
Converse Hinge theorem states, "If the two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second triangle."
By the converse of the hinge theorem, mC = mS. FALSE. EITHER ANGLE IS LARGER THAN THE OTHER
By the hinge theorem,TS > AC. FALSE. CONGRUENT SIDES BASED ON THE GIVEN IMAGE.
By the converse of the hinge theorem, mS > mC. TRUE.
By the hinge theorem, BA = RT. FALSE. 3RD SIDE OF EITHER TRIANGLE WILL BE LONGER THAN THE OTHER.