Math, asked by jainsiddhantjs, 1 month ago

3.     In fig. if Il I m then find value of x




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Answers

Answered by Anonymous
1

Answer:

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 LaRouge
0

Answer:

Since l∥m, then

3y=2y+25

0

[Alternate ∠s]

⇒3y−2y=25

0

⇒y=25

0

...(1)

Also x+15

0

=2y+25

0

[Vertically opposite ∠s]

⇒x+15

0

=2(25)+25

0

[using (1)]

⇒x+15

0

=50

0

+25

0

⇒x=75

0

−15

0

⇒x=60

0

.(in degrees)

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