Question

Por favor mim tirem essas dúvidas

Answer 1

A soma dos ângulos internos de um triangulo são 180°, sando disso temos que:
EXERCÍCIO 1

A SOMA DA COLUNA DEVE SOMAR 180°
$\begin{tabular}{|l|l|l|l|l|l|l|}\cline{1-7} \^A& 30^{o}&20^{o} & & 75^{o} & 90^{o}& \\\cline{1-7} \^B& 70^{o}& & 60^{o} &40^{o} & & 38^{o}\\\cline{1-7} \^C& & 110^{o}& 60^{o}& & 43^{o}& 51^{o}\\\cline{1-7} \end{tabular} \end{table}$

$\begin{tabular}{|l|l|l|l|l|l|l|}\cline{1-7} \^A& 30^{o}&20^{o} & \bf60^{o} & 75^{o} & 90^{o}&\bf91^{o} \\\cline{1-7} \^B& 70^{o}& \bf{50}^{o} & 60^{o} &40^{o} & \bf47^{o} & 38^{o}\\\cline{1-7} \^C&\bf {80}^{o} & 110^{o}& 60^{o}& \bf65^{o}& 43^{o}& 51^{o}\\\cline{1-7} \end{tabular} \end{table}$


2 CALCULAR O VALOR DE X EM CADA CASO:
(a)
$50+30+x=180 \\ 80+x=180 \\ x=180-80 \\ \boxed{\begin{array}{c}\mathsf{x=100^{o}} \end{array}}$

(b)
$60+90+x=180 \\ 150+x=180 \\x=180-150 \\ \boxed{\begin{array}{c}\mathsf{x=30^{o}} \end{array}}$

(c)
$3x+4x+5x=180 \\ 12x=180 \\ x=180\div12 \\ \boxed{\begin{array}{c}\mathsf{x=15} \end{array}}$

(d)
$3x+90+2x=180 \\ 5x+90=180 \\ 5x=180-90 \\ 5x=90 \\ x=90\div5 \\ \boxed{\begin{array}{c}\mathsf{x=18^{o}} \end{array}}$


Espero ter ajudado, qualquer dúvida comente embaixo! :)