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What is the measure of the smallest angle?

https://aoa.sooschools.com/media/g_pal_2015/6/img_triangle_measures2.gif

53°
57°
63°
64°

Question

MEDAL AND FAN FOR BEST/QUICKEST ANSWER!!!


 What is the measure of the smallest angle? 

https://aoa.sooschools.com/media/g_pal_2015/6/img_triangle_measures2.gif

 53° 
57° 
63°
 64°

oliviagggg · Answer

@rebeccaxhawaii

oliviagggg · Answer

@563blackghost

563blackghost · Answer

I believe this is an isosceles triangle....

oliviagggg · Answer

i got 18

oliviagggg · Answer

where do i input them in the equations

oliviagggg · Answer

3(18)+6=60
4(18)−12=60
3(18)−4 =50

563blackghost · Answer

hmmmmm well I guess im wrong in this one....ooo wait i got it.....one sec

563blackghost · Answer

$\huge{(3x+6)+(4x-12)+(3x-4)=180}$ 

we first combine like terms....

$\huge\color{purple}{10x-10=180}$ next we add 10 on both sides...

$\huge\color{orange}{10x=190}$ now we divide by 10 on both sides....

$\Huge\color{red}{\frac{10x}{10}=\frac{190}{10}}$ what would x be?

oliviagggg · Answer

19

563blackghost · Answer

Correct ^^ Now you input 19 where x is in each equation...

oliviagggg · Answer

3(19)+6=    63
4(19)-12=   64
3(19)-4=     53

oliviagggg · Answer

the only one not used thats on the list of choices is 57 is that it?

563blackghost · Answer

You are to choose the smallest angle so your answer would be $\Large{53}$...

oliviagggg · Answer

Thank You :)

563blackghost · Answer

np ^^