Question

If lines p and q are parallel then the value of x is

Answer 1

Answer:

The answer is A. 10

Step-by-step explanation:

The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.

5x - 25 = 3x - 5

subtract 3x from each side

2x - 25 = -5

add 25 to each side

2x = 20

divide 2 from each side

x = 10

Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.

Answer 2

The relation between the given angles is given by the alternate interior

angles theorem.

If lines p and q are parallel then the value of x is A. 10°

Reason:

The given parameters are;

Condition; Line p, and line q, are parallel.

The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.

According to alternate interior angles theorem, we have the alternate

angles are congruent, where line p, and line q are parallel.

Therefore;

(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles

(3·x - 5)° = (5·x - 25)° By definition of congruency

Solving, we get;

(3·x - 5)° + 25° = (5·x - 25)° + 25°

3·x + 20° - 3·x = 5·x - 3·x = 2·x

20° = 2·x

$x = \dfrac{20^{\circ}}{2} = 10^{\circ}$

The correct option is A. 10°

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