Question

Q6. Find the value of the variable. Explain your reasoning. Note : Arrows indicate parallel lines. ​

Answer 1

$3x = 5x - 20$

$alternate \: interior \: angle$

$- 20 = 3x - 5x$

$- 2x = - 20$

$x = 10$

$2y + 4y + 5x - 20 = 180$

$sum \: of \: all \: angles \: of \: triangle \: is \: {180}^{o}$

$6y + 5x - 20 = 180$

$6y + 5 \times 10 - 20 = 180$

$6y + 50 - 20 = 180$

$6y + 30 = 180$

$6y = 150$

$y = \frac{150}{6}$

$y = \frac{50}{2}$

$y = 25$

$(x,y) = (10, 25)$