Question

Work out the size of angle x

Answer 1

`13^(\circ)`

Explanation:

Consider the smaller of the two triangles with angle
`x`.

Using vertically opposite angles, one of the angles of this triangle is
`85^(\circ)`.

Using corresponding angles combined with angles on a straight line, one of the angles is
`82^(\circ)`.

Angles in a triangle add to
`180^(\circ)`, so
`x=13`.