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In △MNO , m∠M=78° , m∠N=34° , and m∠O=68° . In △RTS , m∠S=68° , m∠R=78° , and m∠T=34° . Describe the pairs of congruent corresponding angles in the two triangles.(1 point) Responses ∠M≅∠R , ∠N≅∠S , ∠O≅∠T angle upper M congruent to angle upper R , angle upper N congruent to angle upper S , angle upper O congruent to angle upper T ∠M≅∠S , ∠N≅∠T , ∠O≅∠R angle upper M congruent to angle upper S , angle upper N congruent to angle upper T , angle upper O congruent to angle upper R ∠M≅∠T , ∠N≅∠R , ∠O≅∠S angle upper M congruent to angle upper T , angle upper N congruent to angle upper R , angle upper O congruent to angle upper S ∠M≅∠R , ∠N≅∠T , ∠O≅∠S

1 answer

To determine the pairs of congruent corresponding angles in triangles \( \triangle MNO \) and \( \triangle RTS \), we need to match the angles based on their measures.

In \( \triangle MNO \):

  • \( m\angle M = 78^\circ \)
  • \( m\angle N = 34^\circ \)
  • \( m\angle O = 68^\circ \)

In \( \triangle RTS \):

  • \( m\angle R = 78^\circ \)
  • \( m\angle S = 68^\circ \)
  • \( m\angle T = 34^\circ \)

Let's look for corresponding angles:

  • \( m\angle M = 78^\circ \) corresponds to \( m\angle R = 78^\circ \): \( \angle M \cong \angle R \)
  • \( m\angle N = 34^\circ \) corresponds to \( m\angle T = 34^\circ \): \( \angle N \cong \angle T \)
  • \( m\angle O = 68^\circ \) corresponds to \( m\angle S = 68^\circ \): \( \angle O \cong \angle S \)

Thus, the pairs of congruent corresponding angles are:

  • \( \angle M \cong \angle R \)
  • \( \angle N \cong \angle T \)
  • \( \angle O \cong \angle S \)

The correct response is:

\( \angle M \cong \angle R \), \( \angle N \cong \angle T \), \( \angle O \cong \angle S \).