Adigirl29:
RSTU is a parallelogram. If m∠TUV = 78° and m∠TVU = 54°, explain how you can find the measure of ∠SRV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response./Users/adamariposada/Desktop/02_10_prt2_g4_flvs.png
Adigirl29:
uh I couldn't see the picture can you send it again?
Florisalreadytaken:
these 2 triangles are congruent, just that 1 of them is horizontally flipped
Adigirl29:
okay so what do I put for the answer exactly?
Florisalreadytaken:
first, we have to find \[V\hat T U\]
Florisalreadytaken:
because \[V\hat T U = S\hat R V\]
Adigirl29:
oh okay so u is 78 and v is 154 correct?
Florisalreadytaken:
54* yes
Adigirl29:
uh im lost lmao
Florisalreadytaken:
ok, so the formula we will use is \[V\hat T U= 180- (\color{chocolate}{V \hat U T} + \color{gold}{T\hat V U}) \]
Adigirl29:
mhm
Florisalreadytaken:
where \[ \color{chocolate}{V \hat U T} = 78\] and \[ \color{gold}{T\hat V U} = 58 \]
Florisalreadytaken:
thus, \[ V\hat T U= 180- (\color{chocolate}{78} + \color{gold}{54}) \]
Adigirl29:
ohhhhhh
Florisalreadytaken:
\[ V\hat T U= \color{lightskyblue}{48} \]
Florisalreadytaken:
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Florisalreadytaken because \[V\hat T U = S\hat R V\] \(\color{#0cbb34}{\text{End of Quote}}\) and that is our answer :D
Shayla:
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Florisalreadytaken thus, \[ V\hat T U= 180- (\color{chocolate}{78} + \color{gold}{54}) \] \(\color{#0cbb34}{\text{End of Quote}}\) 54?
Shayla:
\(\color{#0cbb34}{\text{Originally Posted by}}\) @Florisalreadytaken where \[ \color{chocolate}{V \hat U T} = 78\] and \[ \color{gold}{T\hat V U} = 58 \] \(\color{#0cbb34}{\text{End of Quote}}\) ??
Adigirl29:
Huh?
Adigirl29:
wasn't it 54 TVU??
Florisalreadytaken:
it is 54 -- mb
Shayla:
okay sorry
Florisalreadytaken:
but the rest is correct no worries!
Adigirl29:
ohhhh okay, thank you so so much! all I have is one question left ill post it soon, thank you!
Florisalreadytaken:
you got it mate!
Adigirl29:
wait isn't TUV 78?
Florisalreadytaken:
yes ?
Adigirl29:
then why VUT in the equation?
Florisalreadytaken:
because that is how congruent angles work lol
Adigirl29:
oh kk
Florisalreadytaken:
they are alternate exterior angles thats why : )
Adigirl29:
oh kk
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