Question

Below are two parallel lines with a third line

intersecting them.
46°
What is x equal to?

Answer 1

x = 134°

Explanation:

The angle labelled
`x^(\circ)` and the 46° add up to 180° as they are co-interior angles.

∴
`x^(\circ) + 46^(\circ) = 180^(\circ)`

⇒
`x^(\circ) = 180^(\circ) - 46^(\circ)` [Subtracting 46° from both sides]

⇒
`x = 134^(\circ)`

Therefore
`x` is equal to 134°.