Can you please help with the following question

a) angle XBC=55° because corresponding angles are congruent.

b) <BXC=70°

Step-by-step explanation:

From the diagram, XY and BD are parallel lines.

This means line AB is a transversal .

Angle XBC and angle AXY form an F-angle.

F-angles are also called corresponding angles, and are congruent.

Therefore, angle XBC=55° because corresponding angles are congruent.

b) We want to work out, angle BXC.

Since XB=XC, triangle XBC is isosceles.

The base angles of an isosceles triangles are equal.

This implies that:

<XBC=<BCX=55°.

Also, sum of angles in a triangle add up to 180°.

<XBC+<BCX+<BXC=180°

55°+55°+<BXC=180°

<BXC=180°-55°-55°

<BXC=180°-110°

<BXC=70°

the answer to the expression is 83