In △MNO

Question

, 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≅∠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≅∠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≅∠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≅∠R
, ∠N≅∠T
, ∠O≅∠S

angle upper M congruent to angle upper R , angle upper N congruent to angle upper T , angle upper O congruent to angle upper S

Answer 1

To determine the pairs of congruent corresponding angles in the two triangles \( \triangle MNO \) and \( \triangle RTS \):

In \( \triangle MNO \):

• \( m∠M = 78° \)
• \( m∠N = 34° \)
• \( m∠O = 68° \)

In \( \triangle RTS \):

• \( m∠S = 68° \)
• \( m∠R = 78° \)
• \( m∠T = 34° \)

Now we can match the angles:

1. For \( ∠M \) and \( ∠R \):

   • \( m∠M = 78° \) is congruent to \( m∠R = 78° \)
   • So, \( ∠M ≅ ∠R \)

2. For \( ∠N \) and \( ∠T \):

   • \( m∠N = 34° \) is congruent to \( m∠T = 34° \)
   • So, \( ∠N ≅ ∠T \)

3. For \( ∠O \) and \( ∠S \):

   • \( m∠O = 68° \) is congruent to \( m∠S = 68° \)
   • So, \( ∠O ≅ ∠S \)

Thus, the pairs of congruent corresponding angles in the two triangles are:

• \( ∠M ≅ ∠R \)
• \( ∠N ≅ ∠T \)
• \( ∠O ≅ ∠S \)

This matches with the option:

∠M≅∠R, ∠N≅∠T, ∠O≅∠S

So the final answer is:

angle upper M congruent to angle upper R, angle upper N congruent to angle upper T, angle upper O congruent to angle upper S.