What is the answer In Fig. if l || m, what is the value of x?
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rupasanfui47:
60 is the answer
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Answered by
39
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°
Answered by
21
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 .
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