Question

10. In the given figure, / || m. Find the values of x and y.
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Answer 1

Answer:

x=20 & y= 9

I hope this answer matches with your book's answer.

Step-by-step explanation:

See child,

162-4x = 5x-18 ( Vertically opposite angles are equal)

-4x-5x= -18-162

-9x= -180

x= -180/-9

x= 20 ANS.

On substituting the value of x in 162-4x,

162-4*20=7y+19(Corresponding angles are equal)

82-19=7y

y= 63/7

y= 9 ANS.

Answer 2

Answer:

x = 20 and y = 9.

Step-by-step explanation:

We have to find :

• Values of x and Y

We know :

• L is parallel to M.
• 5x-18 = 162-4x  (because they are vertically opposite angle)
• 7y+19=162-4x (corresponding angles ; L is parallel to M and they both lie in same transversal)

To find x

• 5x-18 = 162-4x
• 5x+4x = 162+18
• 9x = 180
• x = 180/9 = 20

x= 20

so x = 162-4x = 162- 4 x 20 = 82°

To find y

• 7y+19 = 162°- 4x

• 7y+19 = 162°- 4 X 20°
• 7y+19 = 162°- 80°

• 7y+19 = 82°
• 7y = 82 - 19

• y = 63/7
• y=9

y = 9

so y = 7y+19 = 7 X 9+19 = 82°