Question

Question

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≅∠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≅∠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≅∠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

Answer 1

In triangles \( \triangle MNO \) and \( \triangle RTS \), we have the following angle measures:

For \( \triangle MNO \):

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

For \( \triangle RTS \):

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

Now, let's match the corresponding angles:

1. \( m∠M \) (78°) corresponds to \( m∠R \) (78°), so \( ∠M ≅ ∠R \).
2. \( m∠N \) (34°) corresponds to \( m∠T \) (34°), so \( ∠N ≅ ∠T \).
3. \( m∠O \) (68°) corresponds to \( m∠S \) (68°), so \( ∠O ≅ ∠S \).

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

\( ∠M ≅ ∠R \), \( ∠N ≅ ∠T \), \( ∠O ≅ ∠S \).

So, the correct response is:

∠M≅∠R, ∠N≅∠T, ∠O≅∠S.