Question

Given △RST≅△LMN, m∠R=65°, and m∠M=70°, what is the measure of ∠T?

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m∠T=

Answer 1

Answer: ∠T=45°

Explanation:

If triangle RST is congruent to triangle LMN, then the angles R=L, S=M, and T=N. Knowing that the sum of angles in a triangle= 180 degrees, then:

∠R+∠S+∠T=180°

∠R=65°

∠M=∠S=70°

180°-∠R-∠S=∠T

180°-65°-70°=

∠T=45°