Question

Using the diagram and the given angle measure to find the other three angle measures

Answer 1

Based on the given.

If
`m∠2 = 59°`

Then,
`m∠4 = 59 °`

(reason: vertically opposite angles are equal)

If
`m∠4 = 59 °`

Then,
`m∠1⟹ 180 - 59 = 121 °`

(reason: angles on a straight line = 180°)

If
`m∠1 = 121°`

Then,
`m∠3 = 121°`

(reason: vertically opposite angles are equal)

Therefore:

`m∠1 = 121°`

`m∠3 = 121°`

`m∠4 = 59 °`

See attached image for the placement of the values.