In ∆MNO, m<M=78°, m<N=34°, and m<O=68°. In ∆RST, m<S=68°, m<R=78°, and m<T=34°. Describe the pairs of congruent corresponding angles in the two triangles.
The corresponding angles in the two triangles are:
Angle M in triangle MNO corresponds to angle R in triangle RST (both measure 78°).
Angle N in triangle MNO corresponds to angle T in triangle RST (both measure 34°).
Angle O in triangle MNO corresponds to angle S in triangle RST (both measure 68°).
So, the pairs of congruent corresponding angles are:
∠M ≅ ∠R
∠N ≅ ∠T
∠O ≅ ∠S
To determine the pairs of congruent corresponding angles in the triangles ∆MNO and ∆RST, we need to compare the corresponding angles.
In triangle ∆MNO, we have:
m<M = 78°
m<N = 34°
m<O = 68°
In triangle ∆RST, we have:
m<S = 68°
m<R = 78°
m<T = 34°
By comparing the pairs of angles, we find that the corresponding angles in the two triangles are as follows:
∆MNO ∆RST
-----------------
<M <R
<N <T
<O <S
So, the pairs of corresponding angles in the two triangles are <M and <R, <N and <T, and <O and <S.