In △MNO , m∠M=78° , m∠N=34° , and m∠O=68° . In △RTS , m∠S=68° , m∠R=78° , and m∠T=34° . Describe the pairs of congruent corresponding angles in the two triangles.(1 point)

Question

Responses

∠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

∠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≅∠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

Answer 1

To find the pairs of congruent corresponding angles in the triangles \( \triangle MNO \) and \( \triangle RTS \), we can compare the measures of the angles:

In \( \triangle MNO \):

• \( m\angle M = 78° \)
• \( m\angle N = 34° \)
• \( m\angle O = 68° \)

In \( \triangle RTS \):

• \( m\angle S = 68° \)
• \( m\angle R = 78° \)
• \( m\angle T = 34° \)

Now, we can match the angles of both triangles based on their measures:

• \( \angle M \) corresponds to \( \angle R \) (both are \( 78° \))
• \( \angle N \) corresponds to \( \angle T \) (both are \( 34° \))
• \( \angle O \) corresponds to \( \angle S \) (both are \( 68° \))

Thus, the congruent corresponding angles are:

• \( \angle M \cong \angle R \)
• \( \angle N \cong \angle T \)
• \( \angle O \cong \angle S \)

The correct response is: ∠M≅∠R , ∠N≅∠T , ∠O≅∠S.