Question

Given m \| nm∥n, find the value of x.

Answer 1

x = 15

Explanation:

Given m||n, the angles indicated with (6x+20) and (8x-10) are alternate angles and their measures are equal.

So, to find the value of x, we can write the following equation:

8x - 10 = 6x + 20

• Transfer like terms to the same side of the equation.

8x - 6x = 20 + 10

• Add/subtract terms.

2x = 30

• Divide both sides with 2.

x = 15