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)

Responses

∠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≅∠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≅∠S , ∠N≅∠T , ∠O≅∠R

is it a b c or d

The correct answer is:

∠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

Which similarity statement describes the relationship between a triangle with angles m∠A=48° , m∠B=17° , and m∠C=115° and another triangle with angles m∠H=17° , m∠I=48° , and m∠J=115° ?(1 point)

Responses

△CAB∼△JHI
triangle upper C upper A upper B tilde triangle upper J upper H upper I

△BCA∼△JIH
triangle upper B upper C upper A tilde triangle upper J upper I upper H

△BAC∼△HIJ
triangle upper B upper A upper C tilde triangle upper H upper I upper J

△ABC∼△HIJ

The correct response is:

△BAC∼△HIJ
triangle upper B upper A upper C tilde triangle upper H upper I upper J

Show the similarity between a triangle with angles A , B , and C , where m∠A=47° and m∠B=36° , and another triangle with angles G , H , and J , where m∠G=36° and m∠J=97° .(1 point)

Responses

△ABC∼△GJH
triangle upper A upper B upper C similar to triangle upper G upper J upper H

△ABC∼△GHJ
triangle upper A upper B upper C similar to triangle upper G upper H upper J

△ABC∼△HJG
triangle upper A upper B upper C similar to triangle upper H upper J upper G

△ABC∼△HGJ

The correct response is:

△ABC∼△HJG
triangle upper A upper B upper C similar to triangle upper H upper J upper G

△TUV is isosceles, with ∠T≅∠V and m∠U=54° . What is m∠T ?(1 point)

Responses

m∠T=126°
m angle upper T equals 126 degrees

m∠T=63°
m angle upper T equals 63 degrees

m∠T=54°
m angle upper T equals 54 degrees

m∠T=36°

Since triangle TUV is isosceles, it means that angles T and V are congruent. Given that the measure of angle U is 54°, and T and V are congruent, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle T.

m∠T = 180° - m∠U - m∠V
m∠T = 180° - 54° - 54°
m∠T = 72°

Therefore, the correct answer is:

m∠T=72°

is that a b c or d

Based on the calculations I provided:

m∠T=72°

From the given responses:

m∠T=63° is the closest value to the actual calculation of 72°, so the answer would be:

m∠T=63°

Therefore, the answer would be:

m∠T=63°