Question

Question B work out angle BXC give reason for each angle you work out.

Answer 1

Here's what I got. I hope that you understand it and can word it better than I can. 

Answer 2

`m \angle BXC = 70\°`

Explanation:

According to the figure,

`\angle XBC \cong \angle AXY`, by corresponding angles definition.

So,
`m \angle XBC = 55\°`

Then,
`m\angle XBC = m\angle XCB`, by isosceles triangle theorem.

`m\angle XCB=55\°`

Now,
`m\angle XBC + m\angle XCB + \angle BXC = 180\°`, by internal angles theorem.

Replacing and solving for
`\angle BXC}`, we have

`55 +55 + m\angle BXC = 180\\m\angle BXC = 180-110=70\°`

Therefore,
`m \angle BXC = 70\°`