Question

Calcule o valor de X na figura e o valor de cada angulo indicado

Answer 1

$x + 40 + 3x + x - 10 = 90 \\ 5x + 30 = 90 \\ 5x = 90 - 30 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12 \\ \\ medida \: dos \: angulos \\ x + 40 \\ 12 + 40 \\ 52 \\ 3x \\ 3 \times 12 \\ 36 \\ x - 10 \\ 12 - 10 \\ 2 \\ \\ 6x + 15 + 2x + 5 = 180 \\ 8x + 20 = 180 \\ 8x = 180 - 20 \\ 8x = 160 \\ x = \frac{160}{8} \\ \\ angulos \\ 6x + 15 \\ 6 \times 20 + 15 \\ 135 \\ 2x + 5 \\ 2 \times 20 + 5 \\ 40 + 5 \\ 45 \\ \\ 2x + x - 15 = 90 \\ 3x - 15 = 90 \\ 3x = 90 + 15 \\ 3x = 105 \\ x = \frac{105}{3} \\ x = 35 \\ \\ angulos \\ 2x \\ 2 \times 35 \\ 70 \\ x - 15 \\ 35 - 15 \\ 20 \\ \\ 5x - 30 + 2x = 180 \\ 7x - 30 = 180 \\ 7x = 180 + 30 \\ 7x = 210 \\ x = \frac{210}{7} \\ x = 30 \\ \\ angulos \\ 5x - 30 \\ 5 \times 30 - 30 \\ 150 - 30 \\ 120 \\ 2x \\ 2 \times 30 \\ 60$