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

Answer:

$m \angle BXC = 70\°$

Step-by-step 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, $m \angle BXC = 70\°$