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≅∠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

∠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

Answer 1

To identify the pairs of congruent corresponding angles in the two triangles, we can compare the angles in triangle \( \triangle MNO \) with those in triangle \( \triangle RTS \).

In \( \triangle MNO \):

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

In \( \triangle RTS \):

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

Now let's pair the angles:

1. \( m\angle M = 78^\circ \) corresponds to \( m\angle R = 78^\circ \).
2. \( m\angle N = 34^\circ \) corresponds to \( m\angle T = 34^\circ \).
3. \( m\angle O = 68^\circ \) corresponds to \( m\angle S = 68^\circ \).

Thus, the pairs of congruent angles are as follows:

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

Therefore, the correct response is: ∠M≅∠R, ∠N≅∠T, ∠O≅∠S.