Question

given lines l parallel m in figure 9.38,find th

Answer 1

a) x = 180°-130° (linear pair)
x = 50°

b) x = 180°-54° ( linear pair)
x = 126°

c)
$x - 20 + x = 180(co \: interior) \\ 2x - 20 = 180 \\ 2x = 180 - 20 \\ 2x = 160 \\ x = 160 \div 2 \\ x = 80$
d)
$50 + \frac{x}{2} = x(coressponding \: and \: vertically \: opposite) \\ \frac{x}{2} - x = - 50 \\ \frac{x}{2} - \frac{2x}{2} = - 50 \\ \frac{ - x}{2} = - 50 \\ \frac{x}{2} = 50 \\ x = 50 \times 2 \\ x = 100$
hope you understand