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4. Find m/T. Explain your reasoning.



User Sllopis
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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°

4. Find m/T. Explain your reasoning. ​-example-1
User Polentino
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