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

Mathematics

2 answers:

masha68 [24]3 years ago

8 0

Answer:

45°

Step-by-step explanation:

Corresponding parts of congruent triangles are congruent.

From the congruence statement, we know that ∠R≅∠L; since m∠R = 65, this means that m∠L = 65 as well.

We know that ∠S≅∠M; since m∠M = 70, this means that m∠S = 70.

This gives us two of the three angles of the triangle. The sum of the measures of a triangle is 180°; this gives us

65+70+x = 180

135+x = 180

Subtracting 135 from each side,

135+x-135 = 180-135

x = 45°

sergey [27]3 years ago

5 0

<T = 45°

Hope this helps!! :)

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