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≅∠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≅∠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≅∠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

Answer 1

To determine the pairs of congruent corresponding angles between the two triangles △MNO and △RTS, we can first list the angles in each triangle based on the provided 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, we can match the angles:

1. ∠M (78°) in △MNO corresponds to ∠R (78°) in △RTS: ∠M ≅ ∠R
2. ∠N (34°) in △MNO corresponds to ∠T (34°) in △RTS: ∠N ≅ ∠T
3. ∠O (68°) in △MNO corresponds to ∠S (68°) in △RTS: ∠O ≅ ∠S

Thus, the correct description of the pairs of congruent corresponding angles is:

∠M ≅ ∠R, ∠N ≅ ∠T, ∠O ≅ ∠S