Question

Find x and y, if l || m || n. Write proper reasons. ​

Answer 1

Answer:

x = 10

y = 5

Step-by-step explanation:

From the figure

Given l║n,

⇒ 6x +5y = 85° (Alternate angles)            ⇔(1)

Also given, m║n ,

⇒ 6x+6y = 90° (Corresponding angles)            ⇔.(2)

Solving (1) and (2), We get

              6x + 5y = 85°

           - ( 6x + 6y = 90°)

                    -y = -5

              ⇒ y = 5

Substituting y = 5 in (1)

⇒6x + 5×5 = 85

⇒6x +25 =85

⇒6x = 85 -25

⇒6x = 60

⇒x = $\dfrac{60}{6}$

⇒x = 10

For more details : (See figure attached)