Question

In the
figure if line L ll line m find the value of x

Answer 1

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

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equal

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow,

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow, (2y + 25) = (x + 15)

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow, (2y + 25) = (x + 15)75 = (x + 15)

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow, (2y + 25) = (x + 15)75 = (x + 15)(x + 15) = 75

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow, (2y + 25) = (x + 15)75 = (x + 15)(x + 15) = 75x = 75 - 15

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow, (2y + 25) = (x + 15)75 = (x + 15)(x + 15) = 75x = 75 - 15x = 60 degrees

2y + 25 = 3y (alternate interior angles) 25 = 3y - 2y25 = 1y1y = 25y = 25/1 = 25Therefore, y = 25Substituting y = 25 in (2y + 25)(2(25) + 25)50 + 25= 75Therefore, 2y + 25 = 75(2y + 25) & (x + 15) are equal and same because they are opposite angles.So, (2y + 25) & (x + 15) are equalNow, (2y + 25) = (x + 15)75 = (x + 15)(x + 15) = 75x = 75 - 15x = 60 degreesTherefore, x = 60 degrees

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Answer 2

Step-by-step explanation:

In the figure,

2y + 25 = 3y ( Alternate interior angles)

$25 = 3y - 2y$

$25 = 1y$

$y = \frac{25}{1}$

$y = 25$

Hence, 3y = 3 × 25 = 75

2y + 25 = 2 × (25) +25

$50 + 25 = 75$

In the figure,

x + 15 = 2y + 25 ( Vertically opposite angles)

$x + 15 = 75$

$x = 75 - 15$

$x = 60$

Value of x = 60

Value of y = 25

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