Question

in the given figure if l is parallel to m the find the value of y/x​

Answer 1

Answer:

60+ y= 180(l//m)

y=120

C = y( opposite angle)

C=120

in triangle ABC

A+B+C = 180(angle sum property)

25+X+120=180

X=180-145

X= 35

now according to question

y/X = 120/35

y/X = 24/7

thanks............

Answer 2

Answer:

$\frac{24}{7}$

Step-by-step explanation:

∠D + ∠y = 180°

⇒ ∠y      = 180° - 60°

⇒ ∠y      = 120°

Also,

∠y = ∠ACB (vertically opposite angles)

⇒ ∠ACB = 120°

∴ In ΔACB,

∠A + ∠B + ∠C = 180° (angle sum property)

⇒ 25° + ∠x + 120° = 180°

⇒ ∠x                      = 180° - 145°

⇒ ∠x                      = 35°

∴ $\frac{y}{x} = \frac{120}{35} = \frac{24}{7}$