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.(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≅∠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
∠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
angle upper M congruent to angle upper S , angle upper N congruent to angle upper T , angle upper O congruent to angle upper R
To determine the pairs of congruent corresponding angles, we need to compare the angles in triangle MNO with the angles in triangle RST.
In triangle MNO, we know that angle M measures 78 degrees, angle N measures 34 degrees, and angle O measures 68 degrees.
In triangle RST, we know that angle S measures 68 degrees, angle R measures 78 degrees, and angle T measures 34 degrees.
To find the pairs of congruent corresponding angles, we look for angles in triangle MNO that have the same measures as angles in triangle RST.
Comparing the angles, we can see that:
- Angle M in triangle MNO has the same measure as angle R in triangle RST (78 degrees). So, angle M is congruent to angle R (∠M ≅ ∠R).
- Angle N in triangle MNO has the same measure as angle T in triangle RST (34 degrees). So, angle N is congruent to angle T (∠N ≅ ∠T).
- Angle O in triangle MNO has the same measure as angle S in triangle RST (68 degrees). So, angle O is congruent to angle S (∠O ≅ ∠S).
Therefore, the correct description of the pairs of congruent corresponding angles in the two triangles is:
- ΜΝΟ: ∠M ≅ ∠R, ∠N ≅ ∠T, ∠O ≅ ∠S.