Question

What is the value of x?
Enter your answer in the box.

Answer 1

x = 12

Explanation:

Creating an equation.

The angles shown form a straight line making them supplementary.

Supplementary angles add up to 180 degrees.

Hence, the sum of the two angles = 180

So we can say that (10x - 20) + (6x + 8) = 180

Solving for x

(10x - 20) + (6x + 8) = 180

==> remove parenthesis

10x - 20 + 6x + 8 = 180

==> combine like terms

16x - 12 = 180

==> add 12 to both sides

16x = 192

==> divide both sides by 16

x = 12