Question

XY and BD are parallel lines

X is a point on AB and C is a point on BD.
XB = XC
a) Complete this sentence.
Angle XBC = 55° because = ?

b) Work out angle BXC.
Give a reason for each angle you work out.

Answer 1

a) they are corresponding angles

b) B=55° (proven)

C=55 (Angles opposite equal sides)

B+C+X=180° ( sum of angles of a triangle)

55°+55°X=180

110°+X=180°

X=180°-110°

X=70°