Question

In Traingle MNO Measurement angle M= 78 Measurement angle N= 34 And Measurement angle O = 68. In Triangle RTS Measurement Angle S= 68 Measurement Angle R=78 And Measurement Angle T= 34 Describe the pairs of congurent corresponding angles in the two triangles
M~T~N~R~O~S
M~S~N~T~O~R
M~R~N~S~O~T
M~R~N~T~O~S
and are you sure?

Answer 1

Are you sure?

Answer 2

To determine the corresponding congruent angles in triangles MNO and RTS, we first need to list the angles in each triangle:

For triangle MNO:
- Angle M = 78°
- Angle N = 34°
- Angle O = 68°

For triangle RTS:
- Angle S = 68°
- Angle R = 78°
- Angle T = 34°

Now, we can match the angles from both triangles:

1. Angle M (78° in triangle MNO) corresponds to Angle R (78° in triangle RTS).
2. Angle N (34° in triangle MNO) corresponds to Angle T (34° in triangle RTS).
3. Angle O (68° in triangle MNO) corresponds to Angle S (68° in triangle RTS).

Thus, the pairs of congruent corresponding angles are:
- M corresponds to R
- N corresponds to T
- O corresponds to S

Given this information, let's analyze the provided sequences:

1. M ~ T ~ N ~ R ~ O ~ S
2. M ~ S ~ N ~ T ~ O ~ R
3. M ~ R ~ N ~ S ~ O ~ T
4. M ~ R ~ N ~ T ~ O ~ S

The correct order should reflect the corresponding angles:
- M corresponds to R
- N corresponds to T
- O corresponds to S

This means the correct sequence for the pairs of congruent corresponding angles is:
**M ~ R, N ~ T, O ~ S**.

Thus, the closest option is:
**M ~ R ~ N ~ T ~ O ~ S.**

And yes, I am sure this is the correct correspondence between the angles in the two triangles.