Final answer:
To find the measure of ∠T, we use the fact that corresponding angles in congruent triangles are equal. Given the measures of ∠R and ∠M, we can find the measure of ∠T using the sum of angles in a triangle.
Step-by-step explanation:
To find the measure of ∠T, we need to use the fact that corresponding angles in congruent triangles are equal. Since △RST ≅ △LMN, we can conclude that m∠S = m∠L and m∠T = m∠N.
Given that m∠R = 65° and m∠M = 70°, we can use the fact that the sum of angles in a triangle is 180° to find the measure of ∠T. So, m∠T = 180° - m∠R - m∠S = 180° - 65° - 70° = 45°.
Therefore, the measure of ∠T is 45°.