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 $\mathrm{△}MNO$ and $\mathrm{△}RTS$, we have the following angle measures:

For $\mathrm{△}MNO$:

• $m\angle M=78°$
• $m\angle N=34°$
• $m\angle O=68°$

For $\mathrm{△}RTS$:

• $m\angle R=78°$
• $m\angle S=68°$
• $m\angle T=34°$

Now, let's match the corresponding angles:

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

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

$\angle M\cong \angle R$, $\angle N\cong \angle T$, $\angle O\cong \angle S$.

So, the correct response is:

∠M≅∠R, ∠N≅∠T, ∠O≅∠S.