Question

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​

Answer 1

Answer:

First, these angles are alternate interior angles.

$10x - 5 = 9x + 1$

$x = 6$

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

$10x - 5 = 9x + 1$

Solve for x. Collect like terms

$10x - 9x = 5 + 1$

$x = 6$