The value of m∠T in the triangle is 65°
The congruence of any two figures is generally understood as two figures which can perfectly overlap each other. Congruent triangles are triangles that are perfect copies of one another.
Given: ΔABC and ΔRST
If the two triangles ABC and RST are arranged, two angles and a side of one are respectively equal to two angles and the corresponding side of the other (AAS). Thus, the triangles are congruent. This implies:
∠A = ∠R, ∠B = ∠S, |AB| = |RS| .Also, ∠C = ∠T, |AC| = |RT| and |BC| = |ST|
Thus, <R = 41°, ∠S = 74°,
<R + ∠S + ∠T = 180° (Sum of angle in a triangle)
41 + 74 + ∠T = 180
115 + ∠T = 180
∠T = 180 - 115
∠T = 65°
Therefore, m∠T = 65°