Question

In triangle MNO, m/M=78, m/N=34", and 2068" In ART'S, m/S = 68, m/R=78° and m/T 34 Describe the pairs of congruent corresponding angles in the two triangles. (1 point)

/M≈R, /N≈ /S,/O≈/T
/M≈R, /N≈ /T,/O≈/S
/M≈T, /N≈ /R,/O≈/S
/M≈S, /N≈ /T,/O≈/R

Answer 1

To identify the pairs of congruent corresponding angles in triangles MNO and ART, we need to analyze the given angles:

**In triangle MNO:**
- \( m/M = 78^\circ \)
- \( m/N = 34^\circ \)
- \( m/O = 2068^\circ \)

**In triangle ART:**
- \( m/S = 68^\circ \)
- \( m/R = 78^\circ \)
- \( m/T = 34^\circ \)

Now, let's match the angles based on their measurements:

1. From triangle MNO, we have \( m/M = 78^\circ \) which matches \( m/R = 78^\circ \) in triangle ART.
2. Next, \( m/N = 34^\circ \) in triangle MNO matches with \( m/T = 34^\circ \) in triangle ART.
3. The remaining angle in triangle MNO \( m/O \) is not stated correctly since it's beyond \( 180^\circ \); however, if we suppose it’s misrepresented and is meant to represent a proper angle, it would logically correspond to the remaining angle in triangle ART, which is \( m/S = 68^\circ \).

Combining these matches, we can see that the corresponding angles are:

- \( m/M \approx m/R \)
- \( m/N \approx m/T \)
- \( m/O \approx m/S \) (assuming proper angle representation)

Thus, the correct choice would be:
**/M ≈ R, /N ≈ T, /O ≈ S**.

So, the correct option is:
**/M ≈ R, /N ≈ T, /O ≈ S.**