In △MNO

Question

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

∠M≅∠S
∠
M
≅
∠
S
, ∠N≅∠T
∠
N
≅
∠
T
, ∠O≅∠R
∠
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
∠
M
≅
∠
R
, ∠N≅∠T
∠
N
≅
∠
T
, ∠O≅∠S
∠
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
∠
M
≅
∠
R
, ∠N≅∠S
∠
N
≅
∠
S
, ∠O≅∠T
∠
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
∠
M
≅
∠
T
, ∠N≅∠R
∠
N
≅
∠
R
, ∠O≅∠S
∠
O
≅
∠
S

Answer 1

To determine the congruent corresponding angles in the triangles △MNO and △RTS, let's first list the angles in both triangles:

In triangle MNO:

• m∠M = 78°
• m∠N = 34°
• m∠O = 68°

In triangle RTS:

• m∠R = 78°
• m∠T = 34°
• m∠S = 68°

Now we can match the angles based on their measures.

• Since m∠M = 78° and m∠R = 78°, we have: ∠M ≅ ∠R

• Since m∠N = 34° and m∠T = 34°, we have: ∠N ≅ ∠T

• Since m∠O = 68° and m∠S = 68°, we have: ∠O ≅ ∠S

Thus, the pairs of congruent corresponding angles are:

• ∠M ≅ ∠R
• ∠N ≅ ∠T
• ∠O ≅ ∠S

The correct response is: ∠M≅∠R, ∠N≅∠T, ∠O≅∠S