Question

I need help please. I can’t do this I’m so lost!

Answer 1

Given:

`m\angle5=143^(\circ)`
`\angle1\text{ and }\angle5\text{ are corresponding angles.}`

Corresponding angles are equal.

`m\angle1=143^(\circ)`
`\angle1\text{ and }\angle3\text{ are vertically opposite angles.}`

Vertically opposite angles are equal.

`m\angle3=143^(\circ)`

Sum of the angles in a straight is 180 degree.

`m\angle2+m\angle3=180^(\circ)`
`m\angle2=180-143`
`m\angle2=37^(\circ)`

Therefore,

`m\angle2=37^(\circ)\text{ and m}\angle3=143^(\circ)`