Question

Using the image below, find the value of x that makes a ∥ b.

Answer 1

Applying the same-side interior angles theorem, the value of x is: D. 20.

What is the Same-Side Interior Angles Theorem?

The same-side interior angles are said to be supplementary to each other if they lie on two parallel lines, according to the same-side interior angles theorem.

Given that lines a and b are parallel, the two angles shown in the image given are same-side interior angles, therefore:

6x + 3x = 180 [according to the same-side interior angles theorem]

Combine like terms

9x = 180

Divide both sides by 9

9x/9 = 180/9 [division property of equality]

x = 20

The value of x is therefore: D. 20.

Learn more about the same-side interior angles theorem on:

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