Question

What is the answer In Fig. if l || m, what is the value of x?

Answer 1

Degree is not written.

Answer:

60°

Step-by-step explanation:

As 3y and 2y + 25 are alternate angles they must be equal.

 ⇒ 3y = 2y + 25

 ⇒ 3y - 2y = 25

 ⇒ y = 25

Hence,

   2y + 25 = 2( 25 ) + 25

                 = 50 + 25

                 = 75

Since x + 15 and 2y + 25 are opposite angles they must be equal.

 ⇒ x + 15 = 2y + 25

 ⇒ x + 15 = 75    ( from above )

 ⇒ x = 75 - 15

 ⇒ x = 60

Hence the measure of x is 60°

Answer 2

Given :

• l and m are parallel to each other.

To Find :

• The value of x.

According to the fig.

• 3y° and (2y + 25)° are alternate interior angles.
• (2y + 25)° and (x + 15)° are vertically opposite angles.

Now,

3y = (2y + 25) [alternate interior angles]

→ 3y - 2y = 25

→ y = 25

(2y + 25) = (x + 15) [vertically opposite angles]

• y = 25

→ 2(25) + 25 = x + 15

→ 50 + 25 = x + 15

→ 75 - 15 = x

→ 60 = x

So, the value of x is 60 .