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43 votes
43 votes
△MNP≅△QST.

What is m∠S?



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△MNP≅△QST. What is m∠S? Enter your answer in the box.-example-1
User Lolade
by
2.8k points

2 Answers

22 votes
22 votes

Answer:

78°

Explanation:

∠M=∠Q

∠N=∠S

∠P=∠T

User Nijin Narayanan
by
3.1k points
7 votes
7 votes

Answer:

  • m∠S =78°

---------------------

Given

  • Two congruent triangles △MNP≅△QST

We know that corresponding angles of congruent triangles are congruent (vertices in same order as name of triangle):

  • ∠M ≅ ∠Q, ∠N ≅ ∠S, ∠P ≅ ∠T

Angle S corresponds to angle N, hence their values are equal:

  • m∠S = m∠N = 78°

User Clem Wang
by
2.7k points
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