Question

Angular ankles of similar triangles quick check in triangle mno, m equals 78° and n = 34 degrees m o = 68 in triangle rst Ms = 68 Mr = 78 Mt = 34 describe the peers of conturgence response angles in

Answer 1

In triangle MNO, the measures of angles M, N, and O are given as follows:
- Angle M = 78°
- Angle N = 34°
- Angle O = (180° - Angle M - Angle N) = (180° - 78° - 34°) = 68°

In triangle RST, the corresponding angles to M, N, and O are given as follows:
- Angle RS = 68°
- Angle RT = 78°
- Angle ST = 34°

The corresponding angles in similar triangles have the same measures. Therefore, the corresponding angles in triangles MNO and RST are:
- Angle M in triangle MNO corresponds to angle RS in triangle RST.
- Angle N in triangle MNO corresponds to angle RT in triangle RST.
- Angle O in triangle MNO corresponds to angle ST in triangle RST.

So, the corresponding angles in the given triangles are:
- Angle M corresponds to angle RS (both have a measure of 68°).
- Angle N corresponds to angle RT (both have a measure of 78°).
- Angle O corresponds to angle ST (both have a measure of 34°).

These angles are called corresponding (congruent) response angles.