Question

Me podrían ayudar es para mañana plissss doy corazón ❤️




Encuentra la medida de cada uno de los ángulos en los siguientes triángulos

Answer 1

Respuesta:

$1)x + 4x + 4x = 180 \\ 9x = 180 \\ x = \frac{180}{9} \\ x = 20 \\ 4(20) = 80 \\ 4(20) = 80 \\ 20 + 80 + 80 = 180$

$2)3x + 2x - 15 + 90 = 180 \\ 5x = 180 - 90 + 15 \\ 5x = 105 \\ x = \frac{105}{5} \\ x = 21 \\ 3(21) = 63 \\ 2(21) - 15 = 27 \\ 90 + 27 + 63 = 180$

$3)2x + 25 + 3x - 5 + 9 0= 180 \\ 5x + 20 + 90 = 180 \\ 5x = 180 - 90 - 20 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ 2(14) + 25 = 53 \\ 3(14) - 5 = 37 \\ 90 + 37 + 53 = 180$

$4)3x + 2x + 22 + 5x - 14 = 180 \\ 10x + 8 = 180 \\ 10x = 180 - 8 \\ 10x = 172 \\ x = \frac{172}{10} \\ x = 17.2 \\ 3(17.2) = 51.6 \\ 2(17.2) + 22 = 56.4 \\ 5(17.2) - 14 = 72 \\ 51.6 + 56.4 + 72 = 180$

$5)2x + 6x - 25 + 3x + 18 = 180 \\ 11x - 7 = 180 \\ 11x = 180 + 7 \\ 11x = 187 \\ x = \frac{187}{11} \\ x = 17 \\ 2(17) = 34 \\ 6(17) - 25 = 77 \\ 3(17) + 18 = 69 \\ 34 + 77 + 69 = 180$

$3x + 24 + x - 5 + 8x - 40 = 180 \\ 12x - 21 = 180 \\ 12x = 180 + 21 \\ 12x = 201 \\ x = \frac{201}{12} \\ x = 16.75 \\ 3(16.75) + 24 = 74.25 \\ 16.75 - 5 = 11.75 \\ 8(16.75) - 40 = 94 \\ 94 + 11.75 + 74.25 = 180$