Question

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

Answer 1

First, these angles are alternate interior angles.

`10x - 5 = 9x + 1`

`x = 6`

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`