Respuesta :

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°

abidemiokin

The measure of m<T is 45 degrees

From the question , we are told that △RST≅△LMN, this shows that all the acute angles are congruent that is;

m<R = m<L = 65

m<S = m<M = 70

m<T = m<N

Since the sum of interior angle of a triangle is 180degrees, hence;

m<R + m<S + m<T  = 180

65 + 70 + m<T = 180

m<T  = 180 - 135

m<T = 45 degrees

Hence the measure of m<T is 45 degrees

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