Question

In Fig. 8.134, if l || m, what is the value of x?
A. 60
B. 50
C. 45
D. 30

Answer 1

Answer:

3y=2y+25 (Alternate Interior angles are equal)

y=25

3y=x+15 (Corresponding Angles)

3*25=x+15

75=x+15

x=60

D.x=60

Answer 2

Given :  l || m

 

To find :  the value of x

 

Solution :  

Let ∠1 = 3y , ∠2 = 2y + 25° and ∠3 = x + 15°

 

∠1 = ∠2 (Alternate angle)

3y = 2y + 25°

3y -  2y =  25°

y = 25°

∠2 = ∠3 (Vertically opposite angle)

2y + 25° =  x + 15°

 2 (25°) + 25° =  x + 15°

50° + 25° =  x + 15°

75° =  x + 15°

x = 75°- 15°

x = 60°

Hence,  the value of x is 60°.

Among the given options option  (A) 60°  is correct.

 HOPE THIS ANSWER WILL HELP YOU…

 

Some more questions :  

In Fig. 8.128, if AB||CD, then the value of x is

A. 20°

B. 30°

C. 45°

D. 60°

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In Fig. 8.130, if l1||l2, what is the value of x?

A. 90°

B. 85°

C. 75°

D. 70°

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